Edit Profile (opens in new tab) Rus, Ioan A. Co-Author Distance Author ID: rus.ioan-a Published as: Rus, Ioan A.; Rus, I. A.; Rus, Ion A. more...less 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 Co-Authors 141 single-authored 38 Petruşel, Adrian 26 Şerban, Marcel Adrian 7 Berinde, Vasile 5 Otrocol, Diana 5 Păcurar, Mădălina 4 Lungu, Nicolaie 4 Mărușter, Ștefan 3 Egri, Edith 3 Petruşel, Gabriela 3 Rus, Bogdan 2 Agratini, Octavian 2 Filip, Alexandru-Darius 2 Ilea, Veronica Ana 2 Mureşan, Anton S. 2 Mureşan, Sorin 2 Precup, Radu 2 Sîntămărian, Alina 2 Trif, Damian 1 Aldea, Florica 1 András, Szilárd 1 Angelov, Vasil Georgiev 1 Buică, Adriana 1 Cătinaş, Teodora 1 Chis-Novac, Adela 1 Cont, Ioan 1 Dârzu Ilea, Veronica Ana 1 Dobritoiu, Maria A. 1 Iancu, Crăciun 1 Miklos, Edith 1 Mureşan, Viorica 1 Peetre, Jaak 1 Yao, Jen-Chih 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 all top 5 Fields 140 Operator theory (47-XX) 120 General topology (54-XX) 38 Integral equations (45-XX) 34 Ordinary differential equations (34-XX) 18 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 9 Difference and functional equations (39-XX) 9 Approximations and expansions (41-XX) 8 General and overarching topics; collections (00-XX) 7 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Category theory; homological algebra (18-XX) 3 Sequences, series, summability (40-XX) 3 Functional analysis (46-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 0968.54029Rus, Ioan A. 214 2001 Ulam stabilities of ordinary differential equations in a Banach space. Zbl 1224.34164Rus, Ioan A. 140 2010 Fixed point theorems in ordered \(L\)-spaces. Zbl 1086.47026Petruşel, Adrian; Rus, Ioan A. 108 2006 Fixed point theory. Zbl 1171.54034Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 93 2008 Fixed point theory for cyclic \(\varphi\)-contractions. Zbl 1191.54042Păcurar, Mădălina; Rus, Ioan A. 92 2010 Ulam stability of ordinary differential equations. Zbl 1224.34165Rus, Ioan A. 92 2009 Remarks on Ulam stability of the operatorial equations. Zbl 1204.47071Rus, Ioan A. 83 2009 Picard operators and applications. Zbl 1031.47035Rus, Ioan A. 74 2003 Data dependence of the fixed point set of some multivalued weakly Picard operators. Zbl 1055.47047Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 47 2003 The theory of a metrical fixed point theorem: theoretical and applicative relevances. Zbl 1172.54030Rus, Ioan A. 41 2008 Cyclic representations and fixed points. Zbl 1463.54126Rus, Ioan A. 41 2005 Fixed point theory in partial metric spaces. Zbl 1199.54244Rus, Ion A. 33 2008 Well-posedness in the generalized sense of the fixed point problems for multivalued operators. Zbl 1149.54022Petruşel, Adrian; Rus, Ioan A.; Yao, Jen-Chih 33 2007 Iterates of Bernstein operators, via contraction principle. Zbl 1056.41004Rus, Ioan A. 26 2004 Fixed point theory 1950–2000. Romanian contributions. Zbl 1005.54037Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 21 2002 Gronwall lemmas: ten open problems. Zbl 1223.47064Rus, Ioan A. 20 2009 Weakly Picard mappings. Zbl 0787.54045Rus, Ioan A. 20 1993 Well-posedness of the fixed point problem for multivalued operators. Zbl 1169.47037Petruşel, Adrian; Rus, Ioan A. 15 2007 Some variants of contraction principle, generalizations and applications. Zbl 1389.54112Rus, Ioan A. 15 2016 Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015Agratini, Octavian; Rus, Ioan A. 14 2003 Basic problems of the metric fixed point theory revisited. II. Zbl 0878.47044Rus, Ioan A. 14 1991 Weakly Picard operators: equivalent definitions, applications and open problems. Zbl 1111.47048Rus, Ioan A.; Petruşel, Adrian; Şerban, Marcel Adrian 14 2006 Weakly Picard operators and applications. Zbl 1035.47044Rus, Ioan A. 13 2001 The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm. Zbl 1458.54030Berinde, 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 1313.54108Rus, Ioan A.; Şerban, Marcel-Adrian 13 2013 Ulam stability of a nonlinear hyperbolic partial differential equation. Zbl 1249.35219Lungu, Nicolaie; Rus, Ioan A. 12 2008 Fixed point theory in terms of a metric and of an order relation. Zbl 07262291Petruşel, Adrian; Rus, Ioan A. 12 2019 Some fixed point theorems in metric spaces. Zbl 0243.54041Rus, Ioan A. 12 1972 An abstract point of view on iterative approximation of fixed points: impact on the theory of fixed point equations. Zbl 1327.47066Rus, Ioan A. 11 2012 On a fixed point theorem of Maia. Zbl 0374.54039Rus, Ioan A. 11 1977 Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 11 2015 An abstract point of view on iterative approximation of fixed points of nonself operators. Zbl 1310.47089Berinde, V.; Măruşter, Şt.; Rus, I. A. 11 2014 Metrical fixed point theorems. Zbl 0506.54037Rus, Ioan A. 10 1979 Data dependence of the fixed points set of multivalued weakly Picard operators. Zbl 1027.47053Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 10 2001 Gronwall Lemma approach to the hyers-Ulam-Rassias stability of an integral equation. Zbl 1185.45015Rus, Ioan A. 10 2010 Kannan contractions and strongly demicontractive mappings. Zbl 1389.47133Mărușter, Ștefan; Rus, Ioan A. 10 2015 Results and problems in Ulam stability of operatorial equations and inclusions. Zbl 1311.39052Rus, Ioan A. 10 2014 An iterative method for the solution of the equation x=f(x,…,x). Zbl 0486.54038Rus, Ioan A. 9 1981 Ulam stability of the operatorial equations. Zbl 1248.39043Rus, Ioan A. 9 2011 The role of equivalent metrics in fixed point theory. Zbl 1278.54044Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 9 2013 Fixed points, upper and lower fixed points: abstract Gronwall lemmas. Zbl 1113.54304Rus, Ioan A. 9 2004 Picard operators and well-posedness of fixed point problems. Zbl 1164.47060Rus, Ioan A. 9 2007 Data dependence of fixed points for non-self generalized contractions. Zbl 1226.47056Chis-Novac, Adela; Precup, Radu; Rus, Ioan A. 9 2009 Some generalizations of a Cauchy lemma and applications. Zbl 1224.54104Rus, Ioan A.; Serban, Marcel-Adrian 9 2008 The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026Petruşel, Adrian; Rus, Ioan A. 9 2010 Graphic contraction principle and applications. Zbl 07216131Petruşel, A.; Rus, I. A. 9 2019 Strict fixed point theory. Zbl 1070.47519Rus, Ioan A. 8 2003 Fiber Picard operators theorem and applications. Zbl 1027.47515Rus, Ioan A. 8 1999 Fixed point theory for multivalued operators on a set with two metrics. Zbl 1133.47036Petruşel, 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 1293.47053Petruşel, A.; Rus, I. A.; Şerban, M. A. 8 2014 Generalized phi-contractions. Zbl 0525.54029Rus, Ioan A. 7 1982 Properties of the solutions of those equations for which the Krasnoselskii iteration converges. Zbl 1275.47126Rus, Ioan A. 7 2012 A fiber generalized contraction theorem and applications. Zbl 1027.47514Rus, Ioan A. 7 1999 Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey. Zbl 1217.47145Rus, Ioan A. 7 2010 Some fixed point theorems for nonself generalized contraction. Zbl 1389.54113Rus, Ioan A.; Şerban, Marcel-Adrian 7 2016 Results and problems in the metrical common fixed point theory. Zbl 0427.54024Rus, Ioan A. 6 1979 Data dependence of the fixed point set of weakly Picard operators. Zbl 1005.54036Rus, 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 1011.47043Petruşel, Adrian; Rus, Ioan A. 6 2001 Functional-differential equations with maxima of mixed type. Zbl 1162.34052Otrocol, Diana; Rus, Ioan A. 6 2008 Abstract models of step method which imply the convergence of successive approximations. Zbl 1159.47046Rus, Ioan A. 6 2008 Fixed point structure theory. Zbl 1110.47047Rus, Ioan A. 6 2006 Fixed points for operators on generalized metric spaces. Zbl 1160.54030Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel Adrian 6 2008 Sur la positivite de la fonction de Green. Zbl 0164.13003Peetre, J.; Rus, I. A. 6 1967 An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. Zbl 1432.54075Petruşel, Adrian; Rus, Ioan A. 6 2013 A class of abstract Volterra equations, via weakly Picard operators technique. Zbl 1197.47080Şerban, M. A.; Rus, I. A.; Petruşel, A. 6 2010 On common fixed points. Zbl 0266.54016Rus, Ioan A. 6 1973 Multivalued Picard and weakly Picard operators. Zbl 1091.47047Petruşel, Adrian; Rus, Ioan A. 5 2004 An integral equation arising from infectious diseases, via Picard operator. Zbl 1164.45303Dobriţoiu, M.; Rus, I. A.; Şerban, M. A. 5 2007 On a functional Volterra-Fredholm integral equation, via Picard operators. Zbl 1195.45035Lungu, Nicolaie; Rus, Ioan A. 5 2009 Functional-differential equations with “maxima” via weakly Picard operators theory. Zbl 1194.34121Otrocol, Diana; Rus, Ioan A. 5 2008 An abstract point of view in the nonlinear diference equations. Zbl 1084.47525Rus, Ioan A. 5 1999 Data dependence of the fixed points in a set with two metrics. Zbl 1136.54028Rus, Ioan A. 5 2007 Caristi-Browder operator theory in distance spaces. Zbl 1356.54001Berinde, Vasile; Rus, Ioan A. 5 2016 First order functional-differential equations with both advanced and retarded arguments. Zbl 1062.34067Rus, Ioan A.; Darzu-Ilea, Veronica 4 2004 Hyperbolic differential inequalities. Zbl 1020.47052Lungu, N.; Rus, I. A. 4 2001 Fibre Picard operators on gauge spaces and applications. Zbl 1176.47042Rus, I. A.; Petruşel, A.; Şerban, M. A. 4 2008 First order iterative functional-differential equation with parameter. Zbl 1212.47039Egri, Edith; Rus, Ioan A. 4 2007 Differential equations, integral equations and dynamical systems. (Ecuaţii diferenţiale, ecuaţii integrale şi sisteme dinamice.) Zbl 0922.34001Rus, Ioan A. 4 1996 Weakly Picard operators on a set with two metrics. Zbl 1112.47306Rus, Ioan A.; Mureşan, Anton S.; Mureşan, Viorica 4 2005 Step method for some integral equations from biomathematics. Zbl 1249.65288Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian 4 2011 Nonexpansive operators as graphic contractions. Zbl 1362.47036Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 4 2016 The generalized retraction methods in fixed point theory for nonself operators. Zbl 1326.47067Rus, Ioan A. 4 2014 Fixed point theorems for multivalued mappings in complete metric spaces. Zbl 0336.54047Rus, Ioan A. 3 1975 Fixed point theorems for set-valued \(Y\)-contractions. Zbl 1126.47047Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 3 2007 Operators on infinite dimensional Cartesian product. Zbl 1223.47065Rus, Ioan A.; Şerban, Marcel-Adrian 3 2010 Iterates of Stancu operators, via contraction principle. Zbl 1249.41020Rus, Ioan A. 3 2002 Some remarks on the notations and terminology in the ordered set theory. Zbl 1463.06002Păcurar, 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 1349.54086Berinde, 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 1516.54049Petrușel, Adrian; Rus, Ioan A.; Șerban, Marcel-Adrian 3 2021 On a theorem of Eisenfeld-Lakshmikantham. Zbl 0511.47041Rus, Ioan A. 2 1983 Basic problem for Maia’s theorem. Zbl 0533.54030Rus, Ioan A. 2 1981 A Müller’s example to Cauchy problem: an operatorial point of view. Zbl 1278.47053Rus, Ioan A. 2 2012 Functional-differential equations of mixed type, via weakly Picard operators. Zbl 1035.34073Rus, Ioan A. 2 2002 Iterates of some bivariate approximation process via weakly Picard operators. Zbl 1206.41021Agratini, Octavian; Rus, Ioan A. 2 2003 Kasahara spaces. Zbl 1213.54076Rus, Ioan A. 2 2010 Contributions to the fixed point theory of diagonal operators. Zbl 1367.47060Petruşel, 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 1240.41069Rus, Ioan A. 2 2010 Some fixed point theorems on Cartesian product in terms of vectorial measures of noncompactness. Zbl 1349.47089Rus, Ioan A.; Şerban, Marcel-Adrian 2 2014 A delay integral equation from biomathematics. Zbl 0749.45004Rus, Ioan A. 2 1989 Set-theoretical aspect of the fixed point theory: some examples. Zbl 1488.54171Rus, Ioan A. 2 2021 Applications of fibre contraction principle to some classes of functional integral equations. Zbl 07606928Ilea, 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 1516.54049Petrușel, Adrian; Rus, Ioan A.; Șerban, Marcel-Adrian 3 2021 Set-theoretical aspect of the fixed point theory: some examples. Zbl 1488.54171Rus, Ioan A. 2 2021 The relevance of a metric condition on a pair of operators in common fixed point theory. Zbl 07390079Petruşel, A.; Rus, I. A. 1 2021 Zero point principle of ball-near identity operators and applications to implicit operator problem. Zbl 1484.47107Buică, A.; Rus, I. A.; Şerban, M. A. 1 2020 Frum-Ketkov operators which are weakly Picard. Zbl 1478.54095Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 1 2020 Fixed point theory in terms of a metric and of an order relation. Zbl 07262291Petruşel, Adrian; Rus, Ioan A. 12 2019 Graphic contraction principle and applications. Zbl 07216131Petruşel, A.; Rus, I. A. 9 2019 Convergence results for fixed point iterative algorithms in metric spaces. Zbl 1474.54235Rus, Ioan A. 2 2019 On an open problem regarding the spectral radius of the derivatives of a function and of its iterates. Zbl 07238281Berinde, Vasile; Mărușter, Ștefan; Rus, Ioan A. 1 2019 Some remarks on the notations and terminology in the ordered set theory. Zbl 1463.06002Păcurar, Mădălina; Rus, Ioan A. 3 2018 Some problems in the fixed point theory. Zbl 1412.47164Rus, Ioan A. 2 2018 A class of functional-integral equations via Picard operator technique. Zbl 1438.45006Petruşel, Adrian; Rus, Ioan A. 1 2018 Saturated contraction principles for non self operators, generalizations and applications. Zbl 1478.54047Berinde, Vasile; Mărușter, Ștefan; Rus, Ioan A. 1 2017 Some variants of contraction principle, generalizations and applications. Zbl 1389.54112Rus, Ioan A. 15 2016 The retraction-displacement condition in the theory of fixed point equation with a convergent iterative algorithm. Zbl 1458.54030Berinde, V.; Petruşel, A.; Rus, I. A.; Şerban, M. A. 13 2016 Some fixed point theorems for nonself generalized contraction. Zbl 1389.54113Rus, Ioan A.; Şerban, Marcel-Adrian 7 2016 Caristi-Browder operator theory in distance spaces. Zbl 1356.54001Berinde, Vasile; Rus, Ioan A. 5 2016 Nonexpansive operators as graphic contractions. Zbl 1362.47036Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 4 2016 Contributions to the fixed point theory of diagonal operators. Zbl 1367.47060Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 2 2016 Remarks on a LaSalle conjecture on global asymptotic stability. Zbl 1372.47068Rus, Ioan A. 2 2016 Relevant classes of weakly Picard operators. Zbl 07644139Rus, Ioan A. 1 2016 Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 11 2015 Kannan contractions and strongly demicontractive mappings. Zbl 1389.47133Mărușter, Ștefan; Rus, Ioan A. 10 2015 An abstract point of view on iterative approximation of fixed points of nonself operators. Zbl 1310.47089Berinde, V.; Măruşter, Şt.; Rus, I. A. 11 2014 Results and problems in Ulam stability of operatorial equations and inclusions. Zbl 1311.39052Rus, 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 1293.47053Petruşel, A.; Rus, I. A.; Şerban, M. A. 8 2014 The generalized retraction methods in fixed point theory for nonself operators. Zbl 1326.47067Rus, Ioan A. 4 2014 From a Dieudonné theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators. Zbl 1349.54086Berinde, Vasile; Păcurar, Mădălina; Rus, Ioan A. 3 2014 Some fixed point theorems on Cartesian product in terms of vectorial measures of noncompactness. Zbl 1349.47089Rus, Ioan A.; Şerban, Marcel-Adrian 2 2014 Some existence results for a system of operatorial equations. Zbl 1389.47146Rus, Ioan A.; Şerban, Marcel-Adrian 2 2014 Heuristic introduction to weakly Picard operator theory. Zbl 1349.47090Rus, Ioan A. 2 2014 Some fixed point theorems in terms of two measures of noncompactness. Zbl 1389.47141Precup, Radu; Rus, Ioan A. 1 2014 A class of functional-integral equations with applications to a bilocal problem. Zbl 1327.45005Petruşel, Adrian; Rus, Ioan A. 1 2014 Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem. Zbl 1313.54108Rus, Ioan A.; Şerban, Marcel-Adrian 13 2013 The role of equivalent metrics in fixed point theory. Zbl 1278.54044Petruşel, 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 1432.54075Petruşel, 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 1327.47066Rus, Ioan A. 11 2012 Properties of the solutions of those equations for which the Krasnoselskii iteration converges. Zbl 1275.47126Rus, Ioan A. 7 2012 A Müller’s example to Cauchy problem: an operatorial point of view. Zbl 1278.47053Rus, Ioan A. 2 2012 Gronwall inequalities via Picard operators. Zbl 1275.47113Lungu, Nicolaie; Rus, Ioan A. 1 2012 Ulam stability of the operatorial equations. Zbl 1248.39043Rus, Ioan A. 9 2011 Step method for some integral equations from biomathematics. Zbl 1249.65288Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian 4 2011 Ulam stabilities of ordinary differential equations in a Banach space. Zbl 1224.34164Rus, Ioan A. 140 2010 Fixed point theory for cyclic \(\varphi\)-contractions. Zbl 1191.54042Păcurar, Mădălina; Rus, Ioan A. 92 2010 Gronwall Lemma approach to the hyers-Ulam-Rassias stability of an integral equation. Zbl 1185.45015Rus, Ioan A. 10 2010 The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026Petruşel, Adrian; Rus, Ioan A. 9 2010 Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey. Zbl 1217.47145Rus, Ioan A. 7 2010 A class of abstract Volterra equations, via weakly Picard operators technique. Zbl 1197.47080Şerban, M. A.; Rus, I. A.; Petruşel, A. 6 2010 Operators on infinite dimensional Cartesian product. Zbl 1223.47065Rus, Ioan A.; Şerban, Marcel-Adrian 3 2010 Kasahara spaces. Zbl 1213.54076Rus, Ioan A. 2 2010 Fixed point and interpolation point set of a positive linear operator on \(C(\overline{D})\). Zbl 1240.41069Rus, Ioan A. 2 2010 Iterates of Stancu operators (via fixed point principles) revisited. Zbl 1250.41013Rus, Ioan A. 1 2010 Ulam stability of ordinary differential equations. Zbl 1224.34165Rus, Ioan A. 92 2009 Remarks on Ulam stability of the operatorial equations. Zbl 1204.47071Rus, Ioan A. 83 2009 Gronwall lemmas: ten open problems. Zbl 1223.47064Rus, Ioan A. 20 2009 Data dependence of fixed points for non-self generalized contractions. Zbl 1226.47056Chis-Novac, Adela; Precup, Radu; Rus, Ioan A. 9 2009 On a functional Volterra-Fredholm integral equation, via Picard operators. Zbl 1195.45035Lungu, Nicolaie; Rus, Ioan A. 5 2009 Fixed point theory. Zbl 1171.54034Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 93 2008 The theory of a metrical fixed point theorem: theoretical and applicative relevances. Zbl 1172.54030Rus, Ioan A. 41 2008 Fixed point theory in partial metric spaces. Zbl 1199.54244Rus, Ion A. 33 2008 Ulam stability of a nonlinear hyperbolic partial differential equation. Zbl 1249.35219Lungu, Nicolaie; Rus, Ioan A. 12 2008 Some generalizations of a Cauchy lemma and applications. Zbl 1224.54104Rus, Ioan A.; Serban, Marcel-Adrian 9 2008 Functional-differential equations with maxima of mixed type. Zbl 1162.34052Otrocol, Diana; Rus, Ioan A. 6 2008 Abstract models of step method which imply the convergence of successive approximations. Zbl 1159.47046Rus, Ioan A. 6 2008 Fixed points for operators on generalized metric spaces. Zbl 1160.54030Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel Adrian 6 2008 Functional-differential equations with “maxima” via weakly Picard operators theory. Zbl 1194.34121Otrocol, Diana; Rus, Ioan A. 5 2008 Fibre Picard operators on gauge spaces and applications. Zbl 1176.47042Rus, I. A.; Petruşel, A.; Şerban, M. A. 4 2008 Well-posedness in the generalized sense of the fixed point problems for multivalued operators. Zbl 1149.54022Petruşel, Adrian; Rus, Ioan A.; Yao, Jen-Chih 33 2007 Well-posedness of the fixed point problem for multivalued operators. Zbl 1169.47037Petruşel, Adrian; Rus, Ioan A. 15 2007 Picard operators and well-posedness of fixed point problems. Zbl 1164.47060Rus, Ioan A. 9 2007 Fixed point theory for multivalued operators on a set with two metrics. Zbl 1133.47036Petruşel, Adrian; Rus, Ioan A. 8 2007 An integral equation arising from infectious diseases, via Picard operator. Zbl 1164.45303Dobriţoiu, M.; Rus, I. A.; Şerban, M. A. 5 2007 Data dependence of the fixed points in a set with two metrics. Zbl 1136.54028Rus, Ioan A. 5 2007 First order iterative functional-differential equation with parameter. Zbl 1212.47039Egri, Edith; Rus, Ioan A. 4 2007 Fixed point theorems for set-valued \(Y\)-contractions. Zbl 1126.47047Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 3 2007 Fixed point theorems in ordered \(L\)-spaces. Zbl 1086.47026Petruşel, Adrian; Rus, Ioan A. 108 2006 Weakly Picard operators: equivalent definitions, applications and open problems. Zbl 1111.47048Rus, Ioan A.; Petruşel, Adrian; Şerban, Marcel Adrian 14 2006 Fixed point structure theory. Zbl 1110.47047Rus, Ioan A. 6 2006 Boundary value problems for iterative functional-differential equations. Zbl 1164.47400Rus, Ioan A.; Egri, Edith 1 2006 Metric space with fixed point property with respect to contractions. Zbl 1174.54386Rus, Ioan A. 1 2006 Cyclic representations and fixed points. Zbl 1463.54126Rus, Ioan A. 41 2005 Weakly Picard operators on a set with two metrics. Zbl 1112.47306Rus, Ioan A.; Mureşan, Anton S.; Mureşan, Viorica 4 2005 Set-theoretic aspects of fixed point theory of multivalued operators: open problems. Zbl 1082.54527Rus, Ioan A. 1 2005 Iterates of Bernstein operators, via contraction principle. Zbl 1056.41004Rus, Ioan A. 26 2004 Fixed points, upper and lower fixed points: abstract Gronwall lemmas. Zbl 1113.54304Rus, Ioan A. 9 2004 Multivalued Picard and weakly Picard operators. Zbl 1091.47047Petruşel, Adrian; Rus, Ioan A. 5 2004 First order functional-differential equations with both advanced and retarded arguments. Zbl 1062.34067Rus, Ioan A.; Darzu-Ilea, Veronica 4 2004 Sequences of operators and fixed points. Zbl 1090.47046Rus, Ioan A. 1 2004 Picard operators and applications. Zbl 1031.47035Rus, Ioan A. 74 2003 Data dependence of the fixed point set of some multivalued weakly Picard operators. Zbl 1055.47047Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 47 2003 Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015Agratini, Octavian; Rus, Ioan A. 14 2003 Strict fixed point theory. Zbl 1070.47519Rus, Ioan A. 8 2003 Iterates of some bivariate approximation process via weakly Picard operators. Zbl 1206.41021Agratini, Octavian; Rus, Ioan A. 2 2003 Fixed point theory 1950–2000. Romanian contributions. Zbl 1005.54037Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 21 2002 Iterates of Stancu operators, via contraction principle. Zbl 1249.41020Rus, Ioan A. 3 2002 Functional-differential equations of mixed type, via weakly Picard operators. Zbl 1035.34073Rus, Ioan A. 2 2002 Generalized contractions and applications. Zbl 0968.54029Rus, Ioan A. 214 2001 Weakly Picard operators and applications. Zbl 1035.47044Rus, Ioan A. 13 2001 Data dependence of the fixed points set of multivalued weakly Picard operators. Zbl 1027.47053Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 10 2001 ...and 40 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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