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Author ID: rus.ioan-a Recent zbMATH articles by "Rus, Ioan A."
Published as: Rus, Ioan A.; Rus, I. A.; Rus, Ion A.
Homepage: http://math.ubbcluj.ro/~iarus/
External Links: MGP
Documents Indexed: 227 Publications since 1963, including 6 Books
5 Contributions as Editor
Reviewing Activity: 449 Reviews
Biographic References: 4 Publications
Co-Authors: 32 Co-Authors with 91 Joint Publications
616 Co-Co-Authors
all top 5

Serials

44 Studia Universitatis Babeș-Bolyai. Mathematica
21 Fixed Point Theory
11 Carpathian Journal of Mathematics
9 Preprint. “Babeș-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars
7 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica
7 Preprint. “Babeș-Bolyai” University. Faculty of Mathematics. Research Seminars
6 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
5 Studii și Cercetări Matematice
5 Creative Mathematics and Informatics
5 Studia Universitatis Babeș-Bolyai. Series Mathematica, Physica
4 Mathematica
4 Scientiae Mathematicae Japonicae
4 Seminar on Fixed Point Theory Cluj-Napoca
4 Studia Universitatis Babeș-Bolyai. Series Mathematica, Mechanica
3 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation
3 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
3 Journal of Nonlinear and Convex Analysis
2 Revue Roumaine de Mathématiques Pures et Appliquées
2 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică
2 Commentationes Mathematicae Universitatis Carolinae
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Libertas Mathematica
2 Glasnik Matematički. Serija III
2 Filomat
2 “Babeș-Bolyai” University. Faculty of Mathematics and Computer Science. Research Seminars. Preprint
2 Journal of Fixed Point Theory and Applications
2 Annals of the Academy of Romanian Scientists. Mathematics and its Applications
1 Journal of Mathematical Analysis and Applications
1 Mathematica Japonica
1 Mathematica Scandinavica
1 Mathematics Seminar Notes
1 Proceedings of the American Mathematical Society
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Zeitschrift für Analysis und ihre Anwendungen
1 Pure Mathematics Manuscript
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Revue d’Analyse Numérique et de Théorie de l’Approximation
1 Topological Methods in Nonlinear Analysis
1 Buletinul Științific al Universității Baia Mare. Seria B
1 Analele Universității din Craiova. Seria Matematică Informatică
1 Taiwanese Journal of Mathematics
1 Mathematical Inequalities & Applications
1 Scripta Scientiarum Mathematicarum
1 Mathematica Moravica
1 Nonlinear Analysis Forum
1 Miskolc Mathematical Notes
1 Fixed Point Theory and Applications
1 Cubo
1 Bollettino della Unione Matematica Italiana. Series III
1 Bollettino della Unione Matematica Italiana. Series IV
1 Journal of Mathematical Inequalities
1 Applicable Analysis and Discrete Mathematics
1 Journal of Nonlinear Science and Applications
1 Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity
1 Set-Valued and Variational Analysis
1 Bulletin of the Transilvania University of Brașov. Series III. Mathematics, Informatics, Physics
1 Academia Republicii Populare Romîne, Filiala Cluj, Studii și Cercetări Matematica
1 Nonlinear Analysis. Theory, Methods & Applications
1 Advances in the Theory of Nonlinear Analysis and its Applications

Publications by Year

Citations contained in zbMATH Open

140 Publications have been cited 1,793 times in 1,002 Documents Cited by Year
Generalized contractions and applications. Zbl 0968.54029
Rus, Ioan A.
214
2001
Ulam stabilities of ordinary differential equations in a Banach space. Zbl 1224.34164
Rus, Ioan A.
140
2010
Fixed point theorems in ordered \(L\)-spaces. Zbl 1086.47026
Petruşel, Adrian; Rus, Ioan A.
108
2006
Fixed point theory. Zbl 1171.54034
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
93
2008
Fixed point theory for cyclic \(\varphi\)-contractions. Zbl 1191.54042
Păcurar, Mădălina; Rus, Ioan A.
92
2010
Ulam stability of ordinary differential equations. Zbl 1224.34165
Rus, Ioan A.
92
2009
Remarks on Ulam stability of the operatorial equations. Zbl 1204.47071
Rus, Ioan A.
83
2009
Picard operators and applications. Zbl 1031.47035
Rus, Ioan A.
74
2003
Data dependence of the fixed point set of some multivalued weakly Picard operators. Zbl 1055.47047
Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina
47
2003
The theory of a metrical fixed point theorem: theoretical and applicative relevances. Zbl 1172.54030
Rus, Ioan A.
41
2008
Cyclic representations and fixed points. Zbl 1463.54126
Rus, Ioan A.
41
2005
Fixed point theory in partial metric spaces. Zbl 1199.54244
Rus, Ion A.
33
2008
Well-posedness in the generalized sense of the fixed point problems for multivalued operators. Zbl 1149.54022
Petruşel, Adrian; Rus, Ioan A.; Yao, Jen-Chih
33
2007
Iterates of Bernstein operators, via contraction principle. Zbl 1056.41004
Rus, Ioan A.
26
2004
Fixed point theory 1950–2000. Romanian contributions. Zbl 1005.54037
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
21
2002
Gronwall lemmas: ten open problems. Zbl 1223.47064
Rus, Ioan A.
20
2009
Weakly Picard mappings. Zbl 0787.54045
Rus, Ioan A.
20
1993
Well-posedness of the fixed point problem for multivalued operators. Zbl 1169.47037
Petruşel, Adrian; Rus, Ioan A.
15
2007
Some variants of contraction principle, generalizations and applications. Zbl 1389.54112
Rus, Ioan A.
15
2016
Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015
Agratini, Octavian; Rus, Ioan A.
14
2003
Basic problems of the metric fixed point theory revisited. II. Zbl 0878.47044
Rus, Ioan A.
14
1991
Weakly Picard operators: equivalent definitions, applications and open problems. Zbl 1111.47048
Rus, Ioan A.; Petruşel, Adrian; Şerban, Marcel Adrian
14
2006
Weakly Picard operators and applications. Zbl 1035.47044
Rus, Ioan A.
13
2001
The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm. Zbl 1458.54030
Berinde, V.; Petruşel, A.; Rus, I. A.; Şerban, M. A.
13
2016
Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem. Zbl 1313.54108
Rus, Ioan A.; Şerban, Marcel-Adrian
13
2013
Ulam stability of a nonlinear hyperbolic partial differential equation. Zbl 1249.35219
Lungu, Nicolaie; Rus, Ioan A.
12
2008
Fixed point theory in terms of a metric and of an order relation. Zbl 07262291
Petruşel, Adrian; Rus, Ioan A.
12
2019
Some fixed point theorems in metric spaces. Zbl 0243.54041
Rus, Ioan A.
12
1972
An abstract point of view on iterative approximation of fixed points: impact on the theory of fixed point equations. Zbl 1327.47066
Rus, Ioan A.
11
2012
On a fixed point theorem of Maia. Zbl 0374.54039
Rus, Ioan A.
11
1977
Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
11
2015
An abstract point of view on iterative approximation of fixed points of nonself operators. Zbl 1310.47089
Berinde, V.; Măruşter, Şt.; Rus, I. A.
11
2014
Metrical fixed point theorems. Zbl 0506.54037
Rus, Ioan A.
10
1979
Data dependence of the fixed points set of multivalued weakly Picard operators. Zbl 1027.47053
Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina
10
2001
Gronwall Lemma approach to the hyers-Ulam-Rassias stability of an integral equation. Zbl 1185.45015
Rus, Ioan A.
10
2010
Kannan contractions and strongly demicontractive mappings. Zbl 1389.47133
Mărușter, Ștefan; Rus, Ioan A.
10
2015
Results and problems in Ulam stability of operatorial equations and inclusions. Zbl 1311.39052
Rus, Ioan A.
10
2014
An iterative method for the solution of the equation x=f(x,…,x). Zbl 0486.54038
Rus, Ioan A.
9
1981
Ulam stability of the operatorial equations. Zbl 1248.39043
Rus, Ioan A.
9
2011
The role of equivalent metrics in fixed point theory. Zbl 1278.54044
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
9
2013
Fixed points, upper and lower fixed points: abstract Gronwall lemmas. Zbl 1113.54304
Rus, Ioan A.
9
2004
Picard operators and well-posedness of fixed point problems. Zbl 1164.47060
Rus, Ioan A.
9
2007
Data dependence of fixed points for non-self generalized contractions. Zbl 1226.47056
Chis-Novac, Adela; Precup, Radu; Rus, Ioan A.
9
2009
Some generalizations of a Cauchy lemma and applications. Zbl 1224.54104
Rus, Ioan A.; Serban, Marcel-Adrian
9
2008
The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026
Petruşel, Adrian; Rus, Ioan A.
9
2010
Graphic contraction principle and applications. Zbl 07216131
Petruşel, A.; Rus, I. A.
9
2019
Strict fixed point theory. Zbl 1070.47519
Rus, Ioan A.
8
2003
Fiber Picard operators theorem and applications. Zbl 1027.47515
Rus, Ioan A.
8
1999
Fixed point theory for multivalued operators on a set with two metrics. Zbl 1133.47036
Petruşel, Adrian; Rus, Ioan A.
8
2007
Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem for a multivalued operator. Zbl 1293.47053
Petruşel, A.; Rus, I. A.; Şerban, M. A.
8
2014
Generalized phi-contractions. Zbl 0525.54029
Rus, Ioan A.
7
1982
Properties of the solutions of those equations for which the Krasnoselskii iteration converges. Zbl 1275.47126
Rus, Ioan A.
7
2012
A fiber generalized contraction theorem and applications. Zbl 1027.47514
Rus, Ioan A.
7
1999
Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey. Zbl 1217.47145
Rus, Ioan A.
7
2010
Some fixed point theorems for nonself generalized contraction. Zbl 1389.54113
Rus, Ioan A.; Şerban, Marcel-Adrian
7
2016
Results and problems in the metrical common fixed point theory. Zbl 0427.54024
Rus, Ioan A.
6
1979
Data dependence of the fixed point set of weakly Picard operators. Zbl 1005.54036
Rus, Ioan A.; Mureşan, Sorin
6
1998
Dynamics on \((P_{cp}(X), H_d)\) generated by a finite family of multi-valued operators on \((X,d)\). Zbl 1011.47043
Petruşel, Adrian; Rus, Ioan A.
6
2001
Functional-differential equations with maxima of mixed type. Zbl 1162.34052
Otrocol, Diana; Rus, Ioan A.
6
2008
Abstract models of step method which imply the convergence of successive approximations. Zbl 1159.47046
Rus, Ioan A.
6
2008
Fixed point structure theory. Zbl 1110.47047
Rus, Ioan A.
6
2006
Fixed points for operators on generalized metric spaces. Zbl 1160.54030
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel Adrian
6
2008
Sur la positivite de la fonction de Green. Zbl 0164.13003
Peetre, J.; Rus, I. A.
6
1967
An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. Zbl 1432.54075
Petruşel, Adrian; Rus, Ioan A.
6
2013
A class of abstract Volterra equations, via weakly Picard operators technique. Zbl 1197.47080
Şerban, M. A.; Rus, I. A.; Petruşel, A.
6
2010
On common fixed points. Zbl 0266.54016
Rus, Ioan A.
6
1973
Multivalued Picard and weakly Picard operators. Zbl 1091.47047
Petruşel, Adrian; Rus, Ioan A.
5
2004
An integral equation arising from infectious diseases, via Picard operator. Zbl 1164.45303
Dobriţoiu, M.; Rus, I. A.; Şerban, M. A.
5
2007
On a functional Volterra-Fredholm integral equation, via Picard operators. Zbl 1195.45035
Lungu, Nicolaie; Rus, Ioan A.
5
2009
Functional-differential equations with “maxima” via weakly Picard operators theory. Zbl 1194.34121
Otrocol, Diana; Rus, Ioan A.
5
2008
An abstract point of view in the nonlinear diference equations. Zbl 1084.47525
Rus, Ioan A.
5
1999
Data dependence of the fixed points in a set with two metrics. Zbl 1136.54028
Rus, Ioan A.
5
2007
Caristi-Browder operator theory in distance spaces. Zbl 1356.54001
Berinde, Vasile; Rus, Ioan A.
5
2016
First order functional-differential equations with both advanced and retarded arguments. Zbl 1062.34067
Rus, Ioan A.; Darzu-Ilea, Veronica
4
2004
Hyperbolic differential inequalities. Zbl 1020.47052
Lungu, N.; Rus, I. A.
4
2001
Fibre Picard operators on gauge spaces and applications. Zbl 1176.47042
Rus, I. A.; Petruşel, A.; Şerban, M. A.
4
2008
First order iterative functional-differential equation with parameter. Zbl 1212.47039
Egri, Edith; Rus, Ioan A.
4
2007
Differential equations, integral equations and dynamical systems. (Ecuaţii diferenţiale, ecuaţii integrale şi sisteme dinamice.) Zbl 0922.34001
Rus, Ioan A.
4
1996
Weakly Picard operators on a set with two metrics. Zbl 1112.47306
Rus, Ioan A.; Mureşan, Anton S.; Mureşan, Viorica
4
2005
Step method for some integral equations from biomathematics. Zbl 1249.65288
Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian
4
2011
Nonexpansive operators as graphic contractions. Zbl 1362.47036
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
4
2016
The generalized retraction methods in fixed point theory for nonself operators. Zbl 1326.47067
Rus, Ioan A.
4
2014
Fixed point theorems for multivalued mappings in complete metric spaces. Zbl 0336.54047
Rus, Ioan A.
3
1975
Fixed point theorems for set-valued \(Y\)-contractions. Zbl 1126.47047
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
3
2007
Operators on infinite dimensional Cartesian product. Zbl 1223.47065
Rus, Ioan A.; Şerban, Marcel-Adrian
3
2010
Iterates of Stancu operators, via contraction principle. Zbl 1249.41020
Rus, Ioan A.
3
2002
Some remarks on the notations and terminology in the ordered set theory. Zbl 1463.06002
Păcurar, Mădălina; Rus, Ioan A.
3
2018
From a Dieudonné theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators. Zbl 1349.54086
Berinde, Vasile; Păcurar, Mădălina; Rus, Ioan A.
3
2014
Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations. Zbl 1516.54049
Petrușel, Adrian; Rus, Ioan A.; Șerban, Marcel-Adrian
3
2021
On a theorem of Eisenfeld-Lakshmikantham. Zbl 0511.47041
Rus, Ioan A.
2
1983
Basic problem for Maia’s theorem. Zbl 0533.54030
Rus, Ioan A.
2
1981
A Müller’s example to Cauchy problem: an operatorial point of view. Zbl 1278.47053
Rus, Ioan A.
2
2012
Functional-differential equations of mixed type, via weakly Picard operators. Zbl 1035.34073
Rus, Ioan A.
2
2002
Iterates of some bivariate approximation process via weakly Picard operators. Zbl 1206.41021
Agratini, Octavian; Rus, Ioan A.
2
2003
Kasahara spaces. Zbl 1213.54076
Rus, Ioan A.
2
2010
Contributions to the fixed point theory of diagonal operators. Zbl 1367.47060
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
2
2016
Fixed point and interpolation point set of a positive linear operator on \(C(\overline{D})\). Zbl 1240.41069
Rus, Ioan A.
2
2010
Some fixed point theorems on Cartesian product in terms of vectorial measures of noncompactness. Zbl 1349.47089
Rus, Ioan A.; Şerban, Marcel-Adrian
2
2014
A delay integral equation from biomathematics. Zbl 0749.45004
Rus, Ioan A.
2
1989
Set-theoretical aspect of the fixed point theory: some examples. Zbl 1488.54171
Rus, Ioan A.
2
2021
Applications of fibre contraction principle to some classes of functional integral equations. Zbl 07606928
Ilea, Veronica; Otrocol, Diana; Rus, Ioan A.; Şerban, Marcel Adrian
1
2022
Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations. Zbl 1516.54049
Petrușel, Adrian; Rus, Ioan A.; Șerban, Marcel-Adrian
3
2021
Set-theoretical aspect of the fixed point theory: some examples. Zbl 1488.54171
Rus, Ioan A.
2
2021
The relevance of a metric condition on a pair of operators in common fixed point theory. Zbl 07390079
Petruşel, A.; Rus, I. A.
1
2021
Zero point principle of ball-near identity operators and applications to implicit operator problem. Zbl 1484.47107
Buică, A.; Rus, I. A.; Şerban, M. A.
1
2020
Frum-Ketkov operators which are weakly Picard. Zbl 1478.54095
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
1
2020
Fixed point theory in terms of a metric and of an order relation. Zbl 07262291
Petruşel, Adrian; Rus, Ioan A.
12
2019
Graphic contraction principle and applications. Zbl 07216131
Petruşel, A.; Rus, I. A.
9
2019
Convergence results for fixed point iterative algorithms in metric spaces. Zbl 1474.54235
Rus, Ioan A.
2
2019
On an open problem regarding the spectral radius of the derivatives of a function and of its iterates. Zbl 07238281
Berinde, Vasile; Mărușter, Ștefan; Rus, Ioan A.
1
2019
Some remarks on the notations and terminology in the ordered set theory. Zbl 1463.06002
Păcurar, Mădălina; Rus, Ioan A.
3
2018
Some problems in the fixed point theory. Zbl 1412.47164
Rus, Ioan A.
2
2018
A class of functional-integral equations via Picard operator technique. Zbl 1438.45006
Petruşel, Adrian; Rus, Ioan A.
1
2018
Saturated contraction principles for non self operators, generalizations and applications. Zbl 1478.54047
Berinde, Vasile; Mărușter, Ștefan; Rus, Ioan A.
1
2017
Some variants of contraction principle, generalizations and applications. Zbl 1389.54112
Rus, Ioan A.
15
2016
The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm. Zbl 1458.54030
Berinde, V.; Petruşel, A.; Rus, I. A.; Şerban, M. A.
13
2016
Some fixed point theorems for nonself generalized contraction. Zbl 1389.54113
Rus, Ioan A.; Şerban, Marcel-Adrian
7
2016
Caristi-Browder operator theory in distance spaces. Zbl 1356.54001
Berinde, Vasile; Rus, Ioan A.
5
2016
Nonexpansive operators as graphic contractions. Zbl 1362.47036
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
4
2016
Contributions to the fixed point theory of diagonal operators. Zbl 1367.47060
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
2
2016
Remarks on a LaSalle conjecture on global asymptotic stability. Zbl 1372.47068
Rus, Ioan A.
2
2016
Relevant classes of weakly Picard operators. Zbl 07644139
Rus, Ioan A.
1
2016
Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
11
2015
Kannan contractions and strongly demicontractive mappings. Zbl 1389.47133
Mărușter, Ștefan; Rus, Ioan A.
10
2015
An abstract point of view on iterative approximation of fixed points of nonself operators. Zbl 1310.47089
Berinde, V.; Măruşter, Şt.; Rus, I. A.
11
2014
Results and problems in Ulam stability of operatorial equations and inclusions. Zbl 1311.39052
Rus, Ioan A.
10
2014
Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem for a multivalued operator. Zbl 1293.47053
Petruşel, A.; Rus, I. A.; Şerban, M. A.
8
2014
The generalized retraction methods in fixed point theory for nonself operators. Zbl 1326.47067
Rus, Ioan A.
4
2014
From a Dieudonné theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators. Zbl 1349.54086
Berinde, Vasile; Păcurar, Mădălina; Rus, Ioan A.
3
2014
Some fixed point theorems on Cartesian product in terms of vectorial measures of noncompactness. Zbl 1349.47089
Rus, Ioan A.; Şerban, Marcel-Adrian
2
2014
Some existence results for a system of operatorial equations. Zbl 1389.47146
Rus, Ioan A.; Şerban, Marcel-Adrian
2
2014
Heuristic introduction to weakly Picard operator theory. Zbl 1349.47090
Rus, Ioan A.
2
2014
Some fixed point theorems in terms of two measures of noncompactness. Zbl 1389.47141
Precup, Radu; Rus, Ioan A.
1
2014
A class of functional-integral equations with applications to a bilocal problem. Zbl 1327.45005
Petruşel, Adrian; Rus, Ioan A.
1
2014
Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem. Zbl 1313.54108
Rus, Ioan A.; Şerban, Marcel-Adrian
13
2013
The role of equivalent metrics in fixed point theory. Zbl 1278.54044
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian
9
2013
An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. Zbl 1432.54075
Petruşel, Adrian; Rus, Ioan A.
6
2013
An abstract point of view on iterative approximation of fixed points: impact on the theory of fixed point equations. Zbl 1327.47066
Rus, Ioan A.
11
2012
Properties of the solutions of those equations for which the Krasnoselskii iteration converges. Zbl 1275.47126
Rus, Ioan A.
7
2012
A Müller’s example to Cauchy problem: an operatorial point of view. Zbl 1278.47053
Rus, Ioan A.
2
2012
Gronwall inequalities via Picard operators. Zbl 1275.47113
Lungu, Nicolaie; Rus, Ioan A.
1
2012
Ulam stability of the operatorial equations. Zbl 1248.39043
Rus, Ioan A.
9
2011
Step method for some integral equations from biomathematics. Zbl 1249.65288
Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian
4
2011
Ulam stabilities of ordinary differential equations in a Banach space. Zbl 1224.34164
Rus, Ioan A.
140
2010
Fixed point theory for cyclic \(\varphi\)-contractions. Zbl 1191.54042
Păcurar, Mădălina; Rus, Ioan A.
92
2010
Gronwall Lemma approach to the hyers-Ulam-Rassias stability of an integral equation. Zbl 1185.45015
Rus, Ioan A.
10
2010
The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026
Petruşel, Adrian; Rus, Ioan A.
9
2010
Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey. Zbl 1217.47145
Rus, Ioan A.
7
2010
A class of abstract Volterra equations, via weakly Picard operators technique. Zbl 1197.47080
Şerban, M. A.; Rus, I. A.; Petruşel, A.
6
2010
Operators on infinite dimensional Cartesian product. Zbl 1223.47065
Rus, Ioan A.; Şerban, Marcel-Adrian
3
2010
Kasahara spaces. Zbl 1213.54076
Rus, Ioan A.
2
2010
Fixed point and interpolation point set of a positive linear operator on \(C(\overline{D})\). Zbl 1240.41069
Rus, Ioan A.
2
2010
Iterates of Stancu operators (via fixed point principles) revisited. Zbl 1250.41013
Rus, Ioan A.
1
2010
Ulam stability of ordinary differential equations. Zbl 1224.34165
Rus, Ioan A.
92
2009
Remarks on Ulam stability of the operatorial equations. Zbl 1204.47071
Rus, Ioan A.
83
2009
Gronwall lemmas: ten open problems. Zbl 1223.47064
Rus, Ioan A.
20
2009
Data dependence of fixed points for non-self generalized contractions. Zbl 1226.47056
Chis-Novac, Adela; Precup, Radu; Rus, Ioan A.
9
2009
On a functional Volterra-Fredholm integral equation, via Picard operators. Zbl 1195.45035
Lungu, Nicolaie; Rus, Ioan A.
5
2009
Fixed point theory. Zbl 1171.54034
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
93
2008
The theory of a metrical fixed point theorem: theoretical and applicative relevances. Zbl 1172.54030
Rus, Ioan A.
41
2008
Fixed point theory in partial metric spaces. Zbl 1199.54244
Rus, Ion A.
33
2008
Ulam stability of a nonlinear hyperbolic partial differential equation. Zbl 1249.35219
Lungu, Nicolaie; Rus, Ioan A.
12
2008
Some generalizations of a Cauchy lemma and applications. Zbl 1224.54104
Rus, Ioan A.; Serban, Marcel-Adrian
9
2008
Functional-differential equations with maxima of mixed type. Zbl 1162.34052
Otrocol, Diana; Rus, Ioan A.
6
2008
Abstract models of step method which imply the convergence of successive approximations. Zbl 1159.47046
Rus, Ioan A.
6
2008
Fixed points for operators on generalized metric spaces. Zbl 1160.54030
Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel Adrian
6
2008
Functional-differential equations with “maxima” via weakly Picard operators theory. Zbl 1194.34121
Otrocol, Diana; Rus, Ioan A.
5
2008
Fibre Picard operators on gauge spaces and applications. Zbl 1176.47042
Rus, I. A.; Petruşel, A.; Şerban, M. A.
4
2008
Well-posedness in the generalized sense of the fixed point problems for multivalued operators. Zbl 1149.54022
Petruşel, Adrian; Rus, Ioan A.; Yao, Jen-Chih
33
2007
Well-posedness of the fixed point problem for multivalued operators. Zbl 1169.47037
Petruşel, Adrian; Rus, Ioan A.
15
2007
Picard operators and well-posedness of fixed point problems. Zbl 1164.47060
Rus, Ioan A.
9
2007
Fixed point theory for multivalued operators on a set with two metrics. Zbl 1133.47036
Petruşel, Adrian; Rus, Ioan A.
8
2007
An integral equation arising from infectious diseases, via Picard operator. Zbl 1164.45303
Dobriţoiu, M.; Rus, I. A.; Şerban, M. A.
5
2007
Data dependence of the fixed points in a set with two metrics. Zbl 1136.54028
Rus, Ioan A.
5
2007
First order iterative functional-differential equation with parameter. Zbl 1212.47039
Egri, Edith; Rus, Ioan A.
4
2007
Fixed point theorems for set-valued \(Y\)-contractions. Zbl 1126.47047
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
3
2007
Fixed point theorems in ordered \(L\)-spaces. Zbl 1086.47026
Petruşel, Adrian; Rus, Ioan A.
108
2006
Weakly Picard operators: equivalent definitions, applications and open problems. Zbl 1111.47048
Rus, Ioan A.; Petruşel, Adrian; Şerban, Marcel Adrian
14
2006
Fixed point structure theory. Zbl 1110.47047
Rus, Ioan A.
6
2006
Boundary value problems for iterative functional-differential equations. Zbl 1164.47400
Rus, Ioan A.; Egri, Edith
1
2006
Metric space with fixed point property with respect to contractions. Zbl 1174.54386
Rus, Ioan A.
1
2006
Cyclic representations and fixed points. Zbl 1463.54126
Rus, Ioan A.
41
2005
Weakly Picard operators on a set with two metrics. Zbl 1112.47306
Rus, Ioan A.; Mureşan, Anton S.; Mureşan, Viorica
4
2005
Set-theoretic aspects of fixed point theory of multivalued operators: open problems. Zbl 1082.54527
Rus, Ioan A.
1
2005
Iterates of Bernstein operators, via contraction principle. Zbl 1056.41004
Rus, Ioan A.
26
2004
Fixed points, upper and lower fixed points: abstract Gronwall lemmas. Zbl 1113.54304
Rus, Ioan A.
9
2004
Multivalued Picard and weakly Picard operators. Zbl 1091.47047
Petruşel, Adrian; Rus, Ioan A.
5
2004
First order functional-differential equations with both advanced and retarded arguments. Zbl 1062.34067
Rus, Ioan A.; Darzu-Ilea, Veronica
4
2004
Sequences of operators and fixed points. Zbl 1090.47046
Rus, Ioan A.
1
2004
Picard operators and applications. Zbl 1031.47035
Rus, Ioan A.
74
2003
Data dependence of the fixed point set of some multivalued weakly Picard operators. Zbl 1055.47047
Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina
47
2003
Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015
Agratini, Octavian; Rus, Ioan A.
14
2003
Strict fixed point theory. Zbl 1070.47519
Rus, Ioan A.
8
2003
Iterates of some bivariate approximation process via weakly Picard operators. Zbl 1206.41021
Agratini, Octavian; Rus, Ioan A.
2
2003
Fixed point theory 1950–2000. Romanian contributions. Zbl 1005.54037
Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela
21
2002
Iterates of Stancu operators, via contraction principle. Zbl 1249.41020
Rus, Ioan A.
3
2002
Functional-differential equations of mixed type, via weakly Picard operators. Zbl 1035.34073
Rus, Ioan A.
2
2002
Generalized contractions and applications. Zbl 0968.54029
Rus, Ioan A.
214
2001
Weakly Picard operators and applications. Zbl 1035.47044
Rus, Ioan A.
13
2001
Data dependence of the fixed points set of multivalued weakly Picard operators. Zbl 1027.47053
Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina
10
2001
...and 40 more Documents
all top 5

Cited by 1,013 Authors

77 Karapınar, Erdal
50 Petruşel, Adrian
31 Shah, Kamal
31 Zada, Akbar
29 Benchohra, Mouffak
28 Abbas, Mujahid
28 Samet, Bessem
27 Wang, Jinrong
26 Rus, Ioan A.
22 Abbas, Said
20 Berinde, Vasile
20 Shahzad, Naseer
18 Radenovic, Stojan
17 Kumam, Poom
17 Petruşel, Gabriela
16 Abdeljawad, Thabet
16 Aydi, Hassen Mohamed
16 Nashine, Hemant Kumar
16 Rakočević, Vladimir
14 Turinici, Mihai
14 Vetro, Calogero
12 Choudhury, Binayak Samadder
12 Nazir, Talat
12 Nieto Roig, Juan Jose
11 Ali, Arshad
11 Jleli, Mohamed Boussairi
11 Sadarangani, Kishin B.
11 Şerban, Marcel Adrian
11 Sintunavarat, Wutiphol
11 Vetro, Francesca
11 Yao, Jen-Chih
11 Zhou, Yong
10 de la Sen, Manuel
10 Hussain, Nawab
10 Kadelburg, Zoran
10 Rezapour, Shahram
9 Agarwal, Ravi P.
9 Alghamdi, Maryam A.
9 Kamran, Tayyab
9 Mihail, Alexandru
9 O’Regan, Donal
9 Păcurar, Mădălina
9 Sudsutad, Weerawat
8 Ali, Zeeshan
8 Bota, Monica-Felicia
8 Etemad, Sina
8 Harjani, Jackie
8 Miculescu, Radu
8 Olatinwo, Memudu Olaposi
8 Park, Choonkil
8 Popa, Dorian
8 Rhoades, Billy E.
8 Shatanawi, Wasfi A.
8 Singh, Shyam Lal
8 Thaiprayoon, Chatthai
7 Alzabut, Jehad O.
7 Ansari, Arslan Hojat
7 Fulga, Andreea
7 Jung, Soon-Mo
7 Kucche, Kishor D.
7 Lazreg, Jamal Eddine
7 Lungu, Nicolaie
7 Ouahab, Abdelghani
7 Parvaneh, Vahid
7 Shah, Syed Omar
7 Valero, Oscar
7 Vivek, Devaraj
6 Alsulami, Hamed Hamdan
6 Altun, Ishak
6 Chifu, Cristian
6 Elsayed, Elsayed Mohammed
6 Eshaghi Gordji, Madjid
6 Fečkan, Michal
6 Gürsoy, Faik
6 Jarad, Fahd
6 Kanagarajan, Kuppusamy
6 Khan, Abdul Rahim
6 Khan, Rahmat Ali
6 Khojasteh, Farshid
6 Li, Yongjin
6 Nguyen Van Dung
6 Riaz, Usman
6 Saadati, Reza
6 Sofonea, Mircea
5 Ahmad, Mansoor
5 Alfuraidan, Monther Rashed
5 Ali, Basit
5 Brzdęk, Janusz
5 Guran, Liliana
5 Hussain, Azhar
5 Ivan, Mircea Dumitru
5 Jachymsky, Jacek R.
5 Karakaya, Vatan
5 Li, XueZhu
5 Metiya, Nikhilesh
5 Mishra, Swami Nath
5 Rasa, Ioan
5 Rassias, Themistocles Michael
5 Rizwan, Rizwan
5 Shikhare, Pallavi U.
...and 913 more Authors
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Cited in 213 Serials

99 Fixed Point Theory and Applications
44 Abstract and Applied Analysis
41 Advances in Difference Equations
33 Journal of Fixed Point Theory and Applications
32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
32 Journal of Function Spaces
29 Filomat
25 Journal of Inequalities and Applications
23 Journal of Mathematical Analysis and Applications
23 AIMS Mathematics
21 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
18 Applied Mathematics and Computation
16 Applied Mathematics Letters
15 Chaos, Solitons and Fractals
12 Results in Mathematics
12 Fixed Point Theory
11 Computers & Mathematics with Applications
10 Journal of Nonlinear Science and Applications
9 Demonstratio Mathematica
9 Nonlinear Analysis. Modelling and Control
9 Journal of Applied Mathematics
8 Numerical Functional Analysis and Optimization
8 Nonlinear Functional Analysis and Applications
8 Central European Journal of Mathematics
8 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
8 Applied General Topology
7 Mathematical Problems in Engineering
7 Mediterranean Journal of Mathematics
7 Arabian Journal of Mathematics
7 Journal of Mathematics
6 Topology and its Applications
6 Mathematical and Computer Modelling
6 Fractals
6 Discrete Dynamics in Nature and Society
6 Qualitative Theory of Dynamical Systems
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 Boundary Value Problems
5 Proceedings of the American Mathematical Society
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Computational and Applied Mathematics
5 Random Operators and Stochastic Equations
5 Journal of Applied Mathematics and Computing
5 Hacettepe Journal of Mathematics and Statistics
5 Bulletin of Mathematical Analysis and Applications
4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
4 Fuzzy Sets and Systems
4 Journal of Computational and Applied Mathematics
4 Optimization
4 The Journal of Analysis
4 Journal of the Egyptian Mathematical Society
4 Turkish Journal of Mathematics
4 Mathematica Moravica
4 Fractional Calculus & Applied Analysis
4 Annales Mathematicae Silesianae
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Acta Universitatis Sapientiae. Mathematica
4 Afrika Matematika
4 Sahand Communications in Mathematical Analysis
4 Open Mathematics
3 Applicable Analysis
3 Journal of Approximation Theory
3 Mathematica Slovaca
3 Publications de l’Institut Mathématique. Nouvelle Série
3 Quaestiones Mathematicae
3 Doklady Mathematics
3 Nonlinear Analysis. Real World Applications
3 Kragujevac Journal of Mathematics
3 Applied Mathematics E-Notes
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Thai Journal of Mathematics
3 JP Journal of Fixed Point Theory and Applications
3 Applicable Analysis and Discrete Mathematics
3 Differential Equations and Applications
3 Journal of Nonlinear Analysis and Optimization: Theory & Applications
3 Problemy Analiza. Issues of Analysis
3 Mathematics
3 Topological Algebra and its Applications
3 Bollettino dell’Unione Matematica Italiana
3 Constructive Mathematical Analysis
2 Indian Journal of Pure & Applied Mathematics
2 Rocky Mountain Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Czechoslovak Mathematical Journal
2 Fasciculi Mathematici
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematische Nachrichten
2 Zeitschrift für Analysis und ihre Anwendungen
2 Acta Mathematica Hungarica
2 Facta Universitatis. Series Mathematics and Informatics
2 Journal of Global Optimization
2 Numerical Algorithms
2 Aequationes Mathematicae
2 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
2 Georgian Mathematical Journal
2 Journal of Convex Analysis
2 Complexity
2 Arab Journal of Mathematical Sciences
2 Differential Equations and Dynamical Systems
2 Vietnam Journal of Mathematics
2 Positivity
...and 113 more Serials
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Cited in 39 Fields

533 General topology (54-XX)
424 Operator theory (47-XX)
253 Ordinary differential equations (34-XX)
88 Integral equations (45-XX)
84 Real functions (26-XX)
48 Partial differential equations (35-XX)
47 Numerical analysis (65-XX)
46 Difference and functional equations (39-XX)
34 Measure and integration (28-XX)
30 Approximations and expansions (41-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
22 Functional analysis (46-XX)
21 Dynamical systems and ergodic theory (37-XX)
15 Combinatorics (05-XX)
10 Biology and other natural sciences (92-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Algebraic topology (55-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
6 Probability theory and stochastic processes (60-XX)
6 Computer science (68-XX)
6 Operations research, mathematical programming (90-XX)
6 Systems theory; control (93-XX)
5 Integral transforms, operational calculus (44-XX)
4 Convex and discrete geometry (52-XX)
4 Mechanics of deformable solids (74-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Special functions (33-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

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