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## Górniewicz, Lech

Compute Distance To:
 Author ID: gorniewicz.lech Published as: Górniewicz, Lech; Górniewicz, L.; Gorniewicz, Lech; Gorniewicz, L.; Gòrniewicz, Lech; Gòrniewicz, L. External Links: MGP · Wikidata · IdRef
 Documents Indexed: 138 Publications since 1970, including 10 Books Reviewing Activity: 203 Reviews
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#### Co-Authors

 25 single-authored 27 Andres, Jan 23 Ntouyas, Sotiris K. 19 Benchohra, Mouffak 12 Ouahab, Abdelghani 8 O’Regan, Donal 7 Granas, Andrzej 6 Kryszewski, Wojciech 6 Nistri, Paolo 5 Djebali, Smail 5 Gatsori, Efrosini P. 5 Ślosarski, Mirosław 4 Fournier, Gilles 4 Gabor, Grzegorz 4 Jezierski, Jerzy 3 Abbas, Said 3 Bielawski, Roger 3 Bryszewski, Jozef 3 De Blasi, Francesco Saverio 3 Gęba, Kazimierz 3 Pianigiani, Giulio 3 Plaskacz, Sławomir 2 Belmekki, Mohammed 2 Kaczynski, Tomasz 2 Marano, Salvatore Angelo 2 Pruszko, Tadeusz 2 Rozpłoch-Nowakowska, Danuta 1 Agarwal, Ravi P. 1 Arara, Amaria 1 Brown, Robert F. 1 Dylawerski, Grzegorz 1 Fišer, Jiří 1 Frigon, Marlène 1 Fryszkowski, Andrzej 1 Furi, Massimo 1 Ingarden, Roman Stanislaw 1 Jiang, Boju 1 Kucharski, Zygfryd 1 Lassonde, Marc 1 Lewicka, Marta 1 Peitgen, Heinz-Otto 1 Schmidt, Mirosław 1 Sficas, G. Y. 1 Zecca, Pietro
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#### Serials

 12 Topological Methods in Nonlinear Analysis 8 Fixed Point Theory 6 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 4 Journal of Mathematical Analysis and Applications 4 Reports on Mathematical Physics 4 Fundamenta Mathematicae 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Topology and its Applications 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the Polish Academy of Sciences, Mathematics 3 Nonlinear Analysis Forum 3 Fixed Point Theory and Applications 3 Lecture Notes in Nonlinear Analysis 2 Archivum Mathematicum 2 Dynamic Systems and Applications 2 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 2 Comptes Rendus de l’Académie des Sciences. Série I 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear and Convex Analysis 2 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 2 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Annales Polonici Mathematici 1 Annales des Sciences Mathématiques du Québec 1 Control and Cybernetics 1 Dissertationes Mathematicae 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Panamerican Mathematical Journal 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Serdica 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Set-Valued Analysis 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Opuscula Mathematica 1 Matematychni Studiï 1 Journal of Computational Analysis and Applications 1 Annales Mathematicae Silesianae 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Scientiae Mathematicae Japonicae 1 Banach Center Publications 1 De Gruyter Series in Nonlinear Analysis and Applications 1 Mathematics and its Applications (Dordrecht) 1 JP Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis 1 Libertas Mathematica. New Series 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 64 Ordinary differential equations (34-XX) 61 Operator theory (47-XX) 58 Algebraic topology (55-XX) 53 General topology (54-XX) 15 Systems theory; control (93-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 3 Measure and integration (28-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

109 Publications have been cited 1,010 times in 649 Documents Cited by Year
Topological fixed point theory of multivalued mappings. Zbl 0937.55001
Górniewicz, Lech
1999
Topological fixed point theory of multivalued mappings. 2nd ed. Zbl 1107.55001
Górniewicz, Lech
2006
Topological fixed point principles for boundary value problems. Zbl 1029.55002
Andres, Jan; Górniewicz, Lech
2003
On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts. Zbl 0757.54019
Górniewicz, Lech; Granas, Andrzej; Kryszewski, Wojciech
1991
Boundary value problems on infinite intervals. Zbl 0936.34023
Andres, Jan; Gabor, Grzegorz; Górniewicz, Lech
1999
Some general theorems in coincidence theory. I. Zbl 0482.55002
Gorniewicz, Lech; Granas, Andrzej
1981
Controllability of semilinear differential equations and inclusions via semigroup theory in Banach spaces. Zbl 1185.93016
Górniewicz, L.; Ntouyas, S. K.; O’Regan, D.
2005
Topological degree and periodic solutions of differential inclusions. Zbl 0936.34009
De Blasi, Francesco S.; Górniewicz, Lech; Pianigiani, Giulio
1999
Controllability results for impulsive functional differential inclusions. Zbl 1130.93310
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2004
On the solution sets of differential inclusions. Zbl 0609.34012
Górniewicz, Lech
1986
Homological methods in fixed-point theory of multi-valued maps. Zbl 0324.55002
Gorniewicz, Lech
1976
Topological approach to differential inclusions. Zbl 0834.34022
Górniewicz, Lech
1995
Topological structure of solution sets to multi-valued asymptotic problems. Zbl 0974.34045
Andres, J.; Gabor, G.; Górniewicz, L.
2000
Solution sets for differential equations and inclusions. Zbl 1258.34002
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2013
Approximation and fixed points for compositions of $$R_ \delta$$-maps. Zbl 0793.54015
Górniewicz, Lech; Lassonde, Marc
1994
Existence theory for impulsive partial hyperbolic functional differential equations involving the Caputo fractional derivative. Zbl 1200.26004
Abbas, Saïd; Benchohra, Mouffak; Gòrniewicz, Lech
2010
First-order periodic impulsive semilinear differential inclusions: existence and structure of solution sets. Zbl 1202.34110
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2010
Existence and controllability results for first-and second-order functional semilinear differential inclusions with nonlocal conditions. Zbl 1123.34061
Górniewicz, L.; Ntouyas, S. K.; O’Regan, D.
2007
Random topological degree and random differential inclusions. Zbl 1286.37053
Andres, Jan; Górniewicz, Lech
2012
Topological essentiality and differential inclusions. Zbl 0755.34013
Gorniewicz, Lech; Slosarski, Miroslaw
1992
The Lefschetz fixed point theorem for multi-valued maps of nonmetrizable spaces. Zbl 0342.55006
Fournier, Gilles; Gorniewicz, Lech
1976
Topological approach to differential inclusions on closed subset of $$\mathbb{R}{}^ n$$. Zbl 0747.34013
Bielawski, R.; Górniewicz, L.; Plaskacz, S.
1992
A generalized Nielsen number and multiplicity results for differential inclusions. Zbl 0940.55007
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
2000
A Lefschetz-type fixed point theorem. Zbl 0306.55007
Gorniewicz, L.
1975
Controllability results for nondensely defined semilinear functional differential equations. Zbl 1101.93007
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2006
Sur la méthode de l’homotopie dans la théorie des point fixes pour les applications multivoques. I: Transversalité topologique. (On the homotopy method in fixed point theory for multivalued maps. I: Topological transversality). Zbl 0665.54030
Górniewicz, Lech; Granas, Andrzej; Kryszewski, Wojciech
1988
Sur la méthode de l’homotopie dans la théorie des points fixes pour les applications multivoques. II: L’indice dans les ANR-s compacts. (On the homotopy method in the fixed point theory for set-valued maps. II: The index in compact ANR-s). Zbl 0678.54033
Górniewicz, Lech; Granas, Andrzej; Kryszewski, Wojciech
1989
Acyclicity of solution sets to functional inclusions. Zbl 1012.34011
Andres, Jan; Gabor, Grzegorz; Górniewicz, Lech
2002
The Lefschetz fixed point theory for morphisms in topological vector spaces. Zbl 1031.55002
Górniewicz, Lech; Rozpłoch-Nowakowska, Danuta
2002
Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows. Zbl 0991.47040
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
2000
Topological structure of solution sets: current results. Zbl 1090.54014
Górniewicz, Lech
2000
Controllability results for evolution inclusions with non-local conditions. Zbl 1052.34073
Benchohra, M.; Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.
2003
Controllability of some nonlinear systems in Banach spaces (the fixed point theory approach). Zbl 1059.49001
Benchohra, Mofak; Górniewicz, Lech; Ntouyas, Sotiris
2003
Existence and structure of solution sets for impulsive differential inclusions. A survey. Zbl 1250.34002
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2012
Controllability results for first and second order evolution inclusions with nonlocal conditions. Zbl 1104.93015
Górniewicz, L.; Ntouyas, S. K.; O’Regan, D.
2006
Periodic points of multivalued mappings with applications to differential inclusions on tori. Zbl 1034.34014
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
2003
Note on topological degree for monotone-type multivalued maps. Zbl 1118.47051
Andres, J.; Górniewicz, L.
2006
Generalized topological essentiality and coincidence points of multivalued maps. Zbl 1182.54052
Gabor, Grzegorz; Górniewicz, Lech; Ślosarski, Mirosław
2009
On the Banach contraction principle for multivalued mappings. Zbl 1019.47042
Andres, Jan; Górniewicz, Lech
2001
On the set of solutions of the Darboux problem for some hyperbolic equations. Zbl 0478.35076
1980
Periodic solutions of differential inclusions in $$\mathbb{R}^ n$$. Zbl 0798.34018
1993
Fixed points of contractive multivalued maps. Zbl 0863.47040
Górniewicz, L.; Marano, S. A.; Ślosarski, M.
1996
A fixed point index approach to some differential equations. Zbl 0685.55001
Bielawski, R.; Górniewicz, L.
1989
Controllability on infinite time horizon for first- and second-order functional differential inlcusions in Banach spaces. Zbl 1020.93004
Benchohra, Mouffak; Górniewicz, Lech; Ntouyas, Sotiris K.
2001
Nondensely defined evolution impulsive differential equations with nonlocal conditions. Zbl 1060.34027
Benchohra, M.; Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.
2003
Coincidence of k-set contraction pairs. Zbl 0578.55002
Górniewicz, L.; Kucharski, Z.
1985
Filippov-Ważewski theorems and structure of solution sets for first order impulsive semilinear functional differential inclusions. Zbl 1182.34087
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2008
Functional differential equations with fractional order and infinite delay. Zbl 1162.26302
Belmekki, Mohammed; Benchohra, Mouffak; Gòrniewicz, Lech
2008
Topological structure of solution sets for impulsive differential inclusions in Fréchet spaces. Zbl 1215.34070
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2011
Noncompact version of the multivalued Nielsen theory and its application to differential inclusions. Zbl 1095.47502
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
1998
Fixed point theorems for multi-valued mappings of the absolute neighbourhood retracts. Zbl 0203.25203
Górniewicz, L.; Granas, A.
1970
The Lefschetz fixed point theorem for some non-compact multi-valued maps. Zbl 0342.55007
Fournier, Gilles; Gorniewicz, Lech
1977
On a theorem of C. Bowszyc concerning the relative-version of the Lefschetz fixed point theorem. Zbl 0588.55001
Górniewicz, Lech; Granas, Andrzej
1985
Existence results for semilinear functional differential inclusions with infinite delay. Zbl 1079.34061
Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.; Sficas, G. Y.
2005
A Poincaré type coincidence theorem for multi-valued maps. Zbl 0332.54016
Bryszewski, J.; Gorniewicz, L.
1976
Handbook of topological fixed point theory. Zbl 1067.55001
Brown, R. F. (ed.); Furi, M. (ed.); Górniewicz, L. (ed.); Jiang, B. (ed.)
2005
Mixed semicontinuous mappings and their applications to differential inclusions. Zbl 0979.34006
Fryszkowski, Andrzej; Górniewicz, Lech
2000
Note on nonejective topological fractals on Peano’s continua. Zbl 1304.54068
Andres, Jan; Górniewicz, Lech
2014
On essential fixed points of compact mappings on arbitrary absolute neighborhood retracts and their application to multivalued fractals. Zbl 1336.37018
Andres, Jan; Górniewicz, Lech
2016
Topology of morphisms and fixed point problems for set-valued maps. Zbl 0760.54030
Górniewicz, Lech; Granas, Andrzej
1991
A remark on Krasnosel’skij’s translation operator along trajectories of ordinary differential equations. Zbl 0533.34033
Dylawerski, G.; Górniewicz, L.
1983
Existence results for first and second order semilinear impulsive differential inclusions. Zbl 1097.34046
Górniewicz, Lech; Ntouyas, Sotiris K.; O’Regan, Donal
2005
On the Schauder fixed point theorem. Zbl 0852.55005
Górniewicz, Lech; Rozpłoch-Nowakowska, Danuta
1996
Multi-valued maps of subsets of Euclidean spaces. Zbl 0355.55013
Bryszewski, J.; Gorniewicz, L.
1976
Controllability of neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. Zbl 1040.93005
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.
2002
From the Schauder fixed-point theorem to the applied multivalued Nielsen theory. Zbl 0958.34015
Andres, Jan; Górniewicz, Lech
1999
Impulsive hyperbolic differential inclusions with variable times. Zbl 1050.35159
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2003
Periodic solutions of dissipative systems revisited. Zbl 1130.34318
Andres, Jan; Górniewicz, Lech
2006
Existence results for first and second order semilinear differential inclusions with nonlocal conditions. Zbl 1131.34045
Górniewicz, L.; Ntouyas, S. K.; O’Regan, D.
2007
Existence results for impulsive hyperbolic differential inclusions. Zbl 1047.34071
Benchohra, M.; Gòrniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2003
On the fixed point set of multivalued contractions. Zbl 0883.47069
Górniewicz, L.; Marano, S. A.
1996
Differential inclusions and implicit equations on closed subsets of $$\mathbb{R}^ n$$. Zbl 0846.34011
Frigon, Marlène; Górniewicz, Lech; Kaczynski, Tomasz
1996
Partially dissipative periodic processes. Zbl 0845.34026
Andres, Jan; Górniewicz, Lech; Lewicka, Marta
1996
Some consequences of the Lefschetz fixed point theorem for multi-valued maps. Zbl 0249.54022
Gorniewicz, L.
1973
Remarks on the Lefschetz fixed point theorem. Zbl 0267.55009
Gorniewicz, L.
1973
Fixed point index and ejective fixed points of compact absorbing contraction multivalued mappings. Zbl 1325.55002
Andres, Jan; Górniewicz, Lech
2015
Feedback stability of closed sets for nonlinear control systems. Zbl 0944.93002
Górniewicz, Lech; Nistri, Paolo
2000
Present state of the Brouwer fixed point theorem for multivalued mappings. Zbl 1079.54522
Górniewicz, Lech
1998
Existence results for nondensely defined impulsive semilinear functional differential equations. Zbl 1051.34068
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2003
Aronszajn type results for Volterra equations and inclusions. Zbl 1064.45010
Agarwal, Ravi P.; Górniewicz, Lech; O’Regan, Donal
2004
Some applications of the Leray-Schauder alternative to differential equations. Zbl 0595.34002
Bielawski, R.; Gorniewicz, L.
1986
Once more on the Lefschetz fixed point theorem. Zbl 1122.55002
Górniewicz, Lech; Ślosarski, Mirosław
2007
Fixed points of mapping in Klee admissible spaces. Zbl 1194.47062
Górniewicz, Lech; Ślosarski, Mirosław
2007
Extension theorems and topological essentiality in $$\alpha$$-weakly convex metric spaces. Zbl 1188.54009
de Blasi, F. S.; Górniewicz, L.; Pianigiani, G.
2009
Fixed point theorems for multi-valued maps of subsets of Euclidean spaces. Zbl 0409.55002
Gorniewicz, Lech
1979
Recent results on the topological fixed point theory of multivalued mappings: a survey. Zbl 1338.54001
Andres, Jan; Górniewicz, Lech
2015
Topological degree theory for acyclic mappings related to the bifurcation problem. Zbl 0760.55002
Górniewicz, Lech; Kryszewski, Wojciech
1992
On the Lefschetz coincidence theorem. Zbl 0477.55004
Gorniewicz, Lech
1981
Controllability results for nondensely defined evolution impulsive differential inclusions with nonlocal conditions. Zbl 1075.93003
Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.
2005
Bifurcations of compactifying maps. Zbl 0824.47051
Górniewicz, Lech; Schmidt, Mirosław
1994
Bifurcation invariants for acyclic mappings. Zbl 0831.55001
Górniewicz, Lech; Kryszewski, Wojciech
1992
Shape as an information-thermodynamical concept and the pattern recognition problem. Zbl 0713.55006
Ingarden, Roman S.; Górniewicz, Lech
1990
An invariance problem for control systems with deterministic uncertainty. Zbl 0867.93041
Górniewicz, Lech; Nistri, Paolo
1996
Topological essentiality and nonlinear boundary value control problems. Zbl 0935.34016
Górniewicz, Lech; Nistri, Paolo
1999
On non-acyclic multi-valued mappings of subsets of Euclidean spaces. Zbl 0242.55008
Gorniewicz, L.
1972
On the Lefschetz fixed point theorem. Zbl 1006.55002
Górniewicz, Lech
2002
Controllability results for multivalued semilinear differential equations with nonlocal conditions. Zbl 1028.34013
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.
2002
An application of the topological degree theory to the study of the Darboux problem for hyperbolic equations. Zbl 0452.35074
Bryszewski, J.; Gorniewicz, L.; Pruszko, T.
1980
Existence results for nondensely defined impulsive semilinear functional differential inclusions with infinite delay. Zbl 1141.34050
Benchohra, Mouffak; Górniewicz, Lech
2007
Fractional order impulsive partial hyperbolic differential inclusions with variable times. Zbl 1269.26002
Abbas, Saïd; Benchohra, Mouffak; Górniewicz, Lech
2011
Implicit differential inclusions with acyclic right-hand sides: an essential fixed points approach. Zbl 1456.34015
Andres, Jan; Górniewicz, Lech
2017
On essential fixed points of compact mappings on arbitrary absolute neighborhood retracts and their application to multivalued fractals. Zbl 1336.37018
Andres, Jan; Górniewicz, Lech
2016
Note on essential fixed points of approximable multivalued mappings. Zbl 1372.55002
Andres, Jan; Górniewicz, Lech
2016
Fixed point index and ejective fixed points of compact absorbing contraction multivalued mappings. Zbl 1325.55002
Andres, Jan; Górniewicz, Lech
2015
Recent results on the topological fixed point theory of multivalued mappings: a survey. Zbl 1338.54001
Andres, Jan; Górniewicz, Lech
2015
Note on nonejective topological fractals on Peano’s continua. Zbl 1304.54068
Andres, Jan; Górniewicz, Lech
2014
Solution sets for differential equations and inclusions. Zbl 1258.34002
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2013
On the Lefschetz fixed point theorem for random multivalued mappings. Zbl 1301.55001
Andres, Jan; Górniewicz, Lech
2013
Random topological degree and random differential inclusions. Zbl 1286.37053
Andres, Jan; Górniewicz, Lech
2012
Existence and structure of solution sets for impulsive differential inclusions. A survey. Zbl 1250.34002
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2012
Differential inclusions – the theory initiated by Cracow Mathematical School. Zbl 1263.34003
Górniewicz, Lech
2012
Topological structure of solution sets for impulsive differential inclusions in Fréchet spaces. Zbl 1215.34070
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2011
Fractional order impulsive partial hyperbolic differential inclusions with variable times. Zbl 1269.26002
Abbas, Saïd; Benchohra, Mouffak; Górniewicz, Lech
2011
Fixed point theorems on admissible multiretracts applicable to dynamical systems. Zbl 1237.37024
Andres, Jan; Górniewicz, Lech
2011
Existence theory for impulsive partial hyperbolic functional differential equations involving the Caputo fractional derivative. Zbl 1200.26004
Abbas, Saïd; Benchohra, Mouffak; Gòrniewicz, Lech
2010
First-order periodic impulsive semilinear differential inclusions: existence and structure of solution sets. Zbl 1202.34110
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2010
Fractional order impulsive partial hyperbolic functional differential equations with variable times and state-dependent delay. Zbl 1289.26009
Abbas, Saïd; Benchohra, Mouffak; Gorniewicz, Lech
2010
Generalized topological essentiality and coincidence points of multivalued maps. Zbl 1182.54052
Gabor, Grzegorz; Górniewicz, Lech; Ślosarski, Mirosław
2009
Extension theorems and topological essentiality in $$\alpha$$-weakly convex metric spaces. Zbl 1188.54009
de Blasi, F. S.; Górniewicz, L.; Pianigiani, G.
2009
Filippov-Ważewski theorems and structure of solution sets for first order impulsive semilinear functional differential inclusions. Zbl 1182.34087
Djebali, Smaïl; Górniewicz, Lech; Ouahab, Abdelghani
2008
Functional differential equations with fractional order and infinite delay. Zbl 1162.26302
Belmekki, Mohammed; Benchohra, Mouffak; Gòrniewicz, Lech
2008
Existence results for semilinear perturbed functional differential inclusions with infinite delay. Zbl 1293.34076
Belmekki, M.; Benchohra, M.; Gòrniewicz, L.; Ntouyas, S. K.
2008
Existence and controllability results for first-and second-order functional semilinear differential inclusions with nonlocal conditions. Zbl 1123.34061
Górniewicz, L.; Ntouyas, S. K.; O&rsquo;Regan, D.
2007
Existence results for first and second order semilinear differential inclusions with nonlocal conditions. Zbl 1131.34045
Górniewicz, L.; Ntouyas, S. K.; O&rsquo;Regan, D.
2007
Once more on the Lefschetz fixed point theorem. Zbl 1122.55002
Górniewicz, Lech; Ślosarski, Mirosław
2007
Fixed points of mapping in Klee admissible spaces. Zbl 1194.47062
Górniewicz, Lech; Ślosarski, Mirosław
2007
Existence results for nondensely defined impulsive semilinear functional differential inclusions with infinite delay. Zbl 1141.34050
Benchohra, Mouffak; Górniewicz, Lech
2007
Controllability of evolution inclusions in Banach spaces with nonlocal conditions. Zbl 1395.93116
Górniewicz, L.; Ntouyas, S. K.; O&rsquo;Regan, D.
2007
Topological fixed point theory of multivalued mappings. 2nd ed. Zbl 1107.55001
Górniewicz, Lech
2006
Controllability results for nondensely defined semilinear functional differential equations. Zbl 1101.93007
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2006
Controllability results for first and second order evolution inclusions with nonlocal conditions. Zbl 1104.93015
Górniewicz, L.; Ntouyas, S. K.; O&rsquo;Regan, D.
2006
Note on topological degree for monotone-type multivalued maps. Zbl 1118.47051
Andres, J.; Górniewicz, L.
2006
Periodic solutions of dissipative systems revisited. Zbl 1130.34318
Andres, Jan; Górniewicz, Lech
2006
Controllability results for semilinear functional differential inclusions with unbounded delay. Zbl 1150.34594
Arara, Amaria; Benchohra, Mouffak; Górniewicz, Lech; Ouahab, Abdelghani
2006
Controllability of semilinear differential equations and inclusions via semigroup theory in Banach spaces. Zbl 1185.93016
Górniewicz, L.; Ntouyas, S. K.; O&rsquo;Regan, D.
2005
Existence results for semilinear functional differential inclusions with infinite delay. Zbl 1079.34061
Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.; Sficas, G. Y.
2005
Handbook of topological fixed point theory. Zbl 1067.55001
Brown, R. F.; Furi, M.; Górniewicz, L.; Jiang, B.
2005
Existence results for first and second order semilinear impulsive differential inclusions. Zbl 1097.34046
Górniewicz, Lech; Ntouyas, Sotiris K.; O&rsquo;Regan, Donal
2005
Controllability results for nondensely defined evolution impulsive differential inclusions with nonlocal conditions. Zbl 1075.93003
Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.
2005
Controllability results for impulsive functional differential inclusions. Zbl 1130.93310
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2004
Aronszajn type results for Volterra equations and inclusions. Zbl 1064.45010
Agarwal, Ravi P.; Górniewicz, Lech; O&rsquo;Regan, Donal
2004
Topological fixed point principles for boundary value problems. Zbl 1029.55002
Andres, Jan; Górniewicz, Lech
2003
Controllability results for evolution inclusions with non-local conditions. Zbl 1052.34073
Benchohra, M.; Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.
2003
Controllability of some nonlinear systems in Banach spaces (the fixed point theory approach). Zbl 1059.49001
Benchohra, Mofak; Górniewicz, Lech; Ntouyas, Sotiris
2003
Periodic points of multivalued mappings with applications to differential inclusions on tori. Zbl 1034.34014
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
2003
Nondensely defined evolution impulsive differential equations with nonlocal conditions. Zbl 1060.34027
Benchohra, M.; Gatsori, E. P.; Górniewicz, L.; Ntouyas, S. K.
2003
Impulsive hyperbolic differential inclusions with variable times. Zbl 1050.35159
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2003
Existence results for impulsive hyperbolic differential inclusions. Zbl 1047.34071
Benchohra, M.; Gòrniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2003
Existence results for nondensely defined impulsive semilinear functional differential equations. Zbl 1051.34068
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.; Ouahab, A.
2003
Acyclicity of solution sets to functional inclusions. Zbl 1012.34011
Andres, Jan; Gabor, Grzegorz; Górniewicz, Lech
2002
The Lefschetz fixed point theory for morphisms in topological vector spaces. Zbl 1031.55002
Górniewicz, Lech; Rozpłoch-Nowakowska, Danuta
2002
Controllability of neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. Zbl 1040.93005
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.
2002
On the Lefschetz fixed point theorem. Zbl 1006.55002
Górniewicz, Lech
2002
Controllability results for multivalued semilinear differential equations with nonlocal conditions. Zbl 1028.34013
Benchohra, M.; Górniewicz, L.; Ntouyas, S. K.
2002
On the Banach contraction principle for multivalued mappings. Zbl 1019.47042
Andres, Jan; Górniewicz, Lech
2001
Controllability on infinite time horizon for first- and second-order functional differential inlcusions in Banach spaces. Zbl 1020.93004
Benchohra, Mouffak; Górniewicz, Lech; Ntouyas, Sotiris K.
2001
Topological structure of solution sets to multi-valued asymptotic problems. Zbl 0974.34045
Andres, J.; Gabor, G.; Górniewicz, L.
2000
A generalized Nielsen number and multiplicity results for differential inclusions. Zbl 0940.55007
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
2000
Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows. Zbl 0991.47040
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
2000
Topological structure of solution sets: current results. Zbl 1090.54014
Górniewicz, Lech
2000
Mixed semicontinuous mappings and their applications to differential inclusions. Zbl 0979.34006
Fryszkowski, Andrzej; Górniewicz, Lech
2000
Feedback stability of closed sets for nonlinear control systems. Zbl 0944.93002
Górniewicz, Lech; Nistri, Paolo
2000
Topological fixed point theory of multivalued mappings. Zbl 0937.55001
Górniewicz, Lech
1999
Boundary value problems on infinite intervals. Zbl 0936.34023
Andres, Jan; Gabor, Grzegorz; Górniewicz, Lech
1999
Topological degree and periodic solutions of differential inclusions. Zbl 0936.34009
De Blasi, Francesco S.; Górniewicz, Lech; Pianigiani, Giulio
1999
From the Schauder fixed-point theorem to the applied multivalued Nielsen theory. Zbl 0958.34015
Andres, Jan; Górniewicz, Lech
1999
Topological essentiality and nonlinear boundary value control problems. Zbl 0935.34016
Górniewicz, Lech; Nistri, Paolo
1999
Noncompact version of the multivalued Nielsen theory and its application to differential inclusions. Zbl 1095.47502
Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy
1998
Present state of the Brouwer fixed point theorem for multivalued mappings. Zbl 1079.54522
Górniewicz, Lech
1998
Fixed points of contractive multivalued maps. Zbl 0863.47040
Górniewicz, L.; Marano, S. A.; Ślosarski, M.
1996
On the Schauder fixed point theorem. Zbl 0852.55005
Górniewicz, Lech; Rozpłoch-Nowakowska, Danuta
1996
On the fixed point set of multivalued contractions. Zbl 0883.47069
Górniewicz, L.; Marano, S. A.
1996
Differential inclusions and implicit equations on closed subsets of $$\mathbb{R}^ n$$. Zbl 0846.34011
Frigon, Marlène; Górniewicz, Lech; Kaczynski, Tomasz
1996
Partially dissipative periodic processes. Zbl 0845.34026
Andres, Jan; Górniewicz, Lech; Lewicka, Marta
1996
An invariance problem for control systems with deterministic uncertainty. Zbl 0867.93041
Górniewicz, Lech; Nistri, Paolo
1996
Topological approach to differential inclusions. Zbl 0834.34022
Górniewicz, Lech
1995
Approximation and fixed points for compositions of $$R_ \delta$$-maps. Zbl 0793.54015
Górniewicz, Lech; Lassonde, Marc
1994
Bifurcations of compactifying maps. Zbl 0824.47051
Górniewicz, Lech; Schmidt, Mirosław
1994
Periodic solutions of differential inclusions in $$\mathbb{R}^ n$$. Zbl 0798.34018
1993
Topological essentiality and differential inclusions. Zbl 0755.34013
Gorniewicz, Lech; Slosarski, Miroslaw
1992
Topological approach to differential inclusions on closed subset of $$\mathbb{R}{}^ n$$. Zbl 0747.34013
Bielawski, R.; Górniewicz, L.; Plaskacz, S.
1992
Topological degree theory for acyclic mappings related to the bifurcation problem. Zbl 0760.55002
Górniewicz, Lech; Kryszewski, Wojciech
1992
Bifurcation invariants for acyclic mappings. Zbl 0831.55001
Górniewicz, Lech; Kryszewski, Wojciech
1992
On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts. Zbl 0757.54019
Górniewicz, Lech; Granas, Andrzej; Kryszewski, Wojciech
1991
Topology of morphisms and fixed point problems for set-valued maps. Zbl 0760.54030
Górniewicz, Lech; Granas, Andrzej
1991
Shape as an information-thermodynamical concept and the pattern recognition problem. Zbl 0713.55006
Ingarden, Roman S.; Górniewicz, Lech
1990
Sur la méthode de l’homotopie dans la théorie des points fixes pour les applications multivoques. II: L’indice dans les ANR-s compacts. (On the homotopy method in the fixed point theory for set-valued maps. II: The index in compact ANR-s). Zbl 0678.54033
Górniewicz, Lech; Granas, Andrzej; Kryszewski, Wojciech
1989
A fixed point index approach to some differential equations. Zbl 0685.55001
Bielawski, R.; Górniewicz, L.
1989
Sur la méthode de l’homotopie dans la théorie des point fixes pour les applications multivoques. I: Transversalité topologique. (On the homotopy method in fixed point theory for multivalued maps. I: Topological transversality). Zbl 0665.54030
Górniewicz, Lech; Granas, Andrzej; Kryszewski, Wojciech
1988
On the solution sets of differential inclusions. Zbl 0609.34012
Górniewicz, Lech
1986
Some applications of the Leray-Schauder alternative to differential equations. Zbl 0595.34002
Bielawski, R.; Gorniewicz, L.
1986
Coincidence of k-set contraction pairs. Zbl 0578.55002
Górniewicz, L.; Kucharski, Z.
1985
On a theorem of C. Bowszyc concerning the relative-version of the Lefschetz fixed point theorem. Zbl 0588.55001
Górniewicz, Lech; Granas, Andrzej
1985
A remark on Krasnosel’skij’s translation operator along trajectories of ordinary differential equations. Zbl 0533.34033
Dylawerski, G.; Górniewicz, L.
1983
Some general theorems in coincidence theory. I. Zbl 0482.55002
Gorniewicz, Lech; Granas, Andrzej
1981
On the Lefschetz coincidence theorem. Zbl 0477.55004
Gorniewicz, Lech
1981
On the set of solutions of the Darboux problem for some hyperbolic equations. Zbl 0478.35076
1980
An application of the topological degree theory to the study of the Darboux problem for hyperbolic equations. Zbl 0452.35074
Bryszewski, J.; Gorniewicz, L.; Pruszko, T.
1980
Fixed point theorems for multi-valued maps of subsets of Euclidean spaces. Zbl 0409.55002
Gorniewicz, Lech
1979
The Lefschetz fixed point theorem for some non-compact multi-valued maps. Zbl 0342.55007
Fournier, Gilles; Gorniewicz, Lech
1977
...and 9 more Documents
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#### Cited in 166 Serials

 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Journal of Mathematical Analysis and Applications 25 Topology and its Applications 25 Fixed Point Theory and Applications 20 Journal of Fixed Point Theory and Applications 18 Proceedings of the American Mathematical Society 16 Computers & Mathematics with Applications 16 Applied Mathematics and Computation 15 Journal of Differential Equations 15 Advances in Difference Equations 12 Applicable Analysis 12 Applied Mathematics Letters 10 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 10 Zeitschrift für Analysis und ihre Anwendungen 8 Journal of Optimization Theory and Applications 8 Mathematica Slovaca 8 Abstract and Applied Analysis 8 Nonlinear Analysis. Theory, Methods & Applications 7 Chaos, Solitons and Fractals 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Set-Valued Analysis 7 Journal of Mathematical Sciences (New York) 7 Boundary Value Problems 6 Rocky Mountain Journal of Mathematics 6 Topological Methods in Nonlinear Analysis 6 Doklady Mathematics 6 Differential Equations and Dynamical Systems 6 Discrete and Continuous Dynamical Systems. Series B 6 Mediterranean Journal of Mathematics 6 Set-Valued and Variational Analysis 5 Reports on Mathematical Physics 5 Fuzzy Sets and Systems 5 Optimization 5 Russian Mathematics 5 Differential Equations 5 Central European Journal of Mathematics 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 Czechoslovak Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 Acta Applicandae Mathematicae 4 Mathematical and Computer Modelling 4 Mathematical Problems in Engineering 4 Acta Mathematica Sinica. English Series 4 Afrika Matematika 3 Demonstratio Mathematica 3 Journal of Soviet Mathematics 3 Numerical Functional Analysis and Optimization 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Transactions of the American Mathematical Society 3 Journal of Dynamics and Differential Equations 3 Indagationes Mathematicae. New Series 3 Journal of Difference Equations and Applications 3 Sbornik: Mathematics 3 Discrete and Continuous Dynamical Systems 3 Fractional Calculus & Applied Analysis 3 Journal of Nonlinear Science and Applications 3 Open Mathematics 2 Applied Mathematics and Optimization 2 International Journal of Game Theory 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematica Hungarica 2 Journal of Integral Equations and Applications 2 Applications of Mathematics 2 Journal of Global Optimization 2 Automation and Remote Control 2 Georgian Mathematical Journal 2 NoDEA. Nonlinear Differential Equations and Applications 2 Izvestiya: Mathematics 2 Nonlinear Dynamics 2 Taiwanese Journal of Mathematics 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics 2 Advanced Nonlinear Studies 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Fixed Point Theory 2 Nonlinear Oscillations 2 Nonlinear Analysis. Hybrid Systems 2 Asian-European Journal of Mathematics 2 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 ISRN Mathematical Analysis 2 Evolution Equations and Control Theory 2 Journal of Function Spaces 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Annales Polonici Mathematici ...and 66 more Serials
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#### Cited in 42 Fields

 335 Ordinary differential equations (34-XX) 290 Operator theory (47-XX) 145 General topology (54-XX) 83 Systems theory; control (93-XX) 71 Algebraic topology (55-XX) 58 Partial differential equations (35-XX) 50 Dynamical systems and ergodic theory (37-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 32 Real functions (26-XX) 23 Probability theory and stochastic processes (60-XX) 20 Functional analysis (46-XX) 18 Integral equations (45-XX) 18 Global analysis, analysis on manifolds (58-XX) 15 Measure and integration (28-XX) 15 Approximations and expansions (41-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Numerical analysis (65-XX) 7 Convex and discrete geometry (52-XX) 7 Operations research, mathematical programming (90-XX) 6 Manifolds and cell complexes (57-XX) 5 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Biology and other natural sciences (92-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

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