Edit Profile (opens in new tab) Rus, Ioan A. Compute Distance To: Compute Author ID: 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: 216 Publications since 1963, including 6 Books 5 Contributions as Editor Reviewing Activity: 449 Reviews Biographic References: 4 Publications Co-Authors: 31 Co-Authors with 81 Joint Publications 576 Co-Co-Authors all top 5 Co-Authors 140 single-authored 35 Petruşel, Adrian 23 Şerban, Marcel Adrian 6 Berinde, Vasile 4 Lungu, Nicolaie 4 Măruşter, Ştefan 4 Otrocol, Diana 3 Egri, Edith 3 Păcurar, Mădălina 3 Petruşel, Gabriela 3 Rus, Bogdan 2 Agratini, Octavian 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 Ilea, Veronica Ana 1 Miklos, Edith 1 Mureşan, Viorica 1 Peetre, Jaak 1 Yao, Jen-Chih all top 5 Serials 42 Studia Universitatis Babeș-Bolyai. Mathematica 20 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 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 “Babeș-Bolyai” University. Faculty of Mathematics and Computer Science. Research Seminars. Preprint 2 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 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 Filomat 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 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 134 Operator theory (47-XX) 112 General topology (54-XX) 33 Integral equations (45-XX) 30 Ordinary differential equations (34-XX) 17 Partial differential equations (35-XX) 11 Numerical analysis (65-XX) 9 Difference and functional equations (39-XX) 9 Approximations and expansions (41-XX) 7 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Order, lattices, ordered algebraic structures (06-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 Category theory; homological algebra (18-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 Mathematical logic and foundations (03-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 118 Publications have been cited 1,366 times in 825 Documents Cited by ▼ Year ▼ Generalized contractions and applications. Zbl 0968.54029Rus, Ioan A. 173 2001 Ulam stabilities of ordinary differential equations in a Banach space. Zbl 1224.34164Rus, Ioan A. 106 2010 Fixed point theorems in ordered \(L\)-spaces. Zbl 1086.47026Petruşel, Adrian; Rus, Ioan A. 97 2006 Fixed point theory for cyclic \(\varphi\)-contractions. Zbl 1191.54042Păcurar, Mădălina; Rus, Ioan A. 76 2010 Ulam stability of ordinary differential equations. Zbl 1224.34165Rus, Ioan A. 70 2009 Fixed point theory. Zbl 1171.54034Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 69 2008 Remarks on Ulam stability of the operatorial equations. Zbl 1204.47071Rus, Ioan A. 69 2009 Picard operators and applications. Zbl 1031.47035Rus, Ioan A. 55 2003 Data dependence of the fixed point set of some multivalued weakly Picard operators. Zbl 1055.47047Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 39 2003 The theory of a metrical fixed point theorem: theoretical and applicative relevances. Zbl 1172.54030Rus, Ioan 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 31 2007 Fixed point theory in partial metric spaces. Zbl 1199.54244Rus, Ion A. 29 2008 Iterates of Bernstein operators, via contraction principle. Zbl 1056.41004Rus, Ioan A. 20 2004 Cyclic representations and fixed points. Zbl 1463.54126Rus, Ioan A. 20 2005 Weakly Picard mappings. Zbl 0787.54045Rus, Ioan A. 18 1993 Fixed point theory 1950–2000. Romanian contributions. Zbl 1005.54037Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 16 2002 Well-posedness of the fixed point problem for multivalued operators. Zbl 1169.47037Petruşel, Adrian; Rus, Ioan A. 13 2007 Weakly Picard operators: equivalent definitions, applications and open problems. Zbl 1111.47048Rus, Ioan A.; Petruşel, Adrian; Şerban, Marcel Adrian 13 2006 Gronwall lemmas: ten open problems. Zbl 1223.47064Rus, Ioan A. 12 2009 Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015Agratini, Octavian; Rus, Ioan A. 12 2003 Basic problems of the metric fixed point theory revisited. II. Zbl 0878.47044Rus, Ioan A. 12 1991 Weakly Picard operators and applications. Zbl 1035.47044Rus, Ioan A. 11 2001 Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators. Zbl 1328.54047Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 10 2015 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 10 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. 9 2012 Gronwall Lemma approach to the hyers-Ulam-Rassias stability of an integral equation. Zbl 1185.45015Rus, Ioan A. 8 2010 Picard operators and well-posedness of fixed point problems. Zbl 1164.47060Rus, Ioan A. 8 2007 An abstract point of view on iterative approximation of fixed points of nonself operators. Zbl 1310.47089Berinde, V.; Măruşter, Şt.; Rus, I. A. 8 2014 An iterative method for the solution of the equation x=f(x,…,x). Zbl 0486.54038Rus, Ioan A. 8 1981 Some fixed point theorems in metric spaces. Zbl 0243.54041Rus, Ioan A. 8 1972 Some variants of contraction principle, generalizations and applications. Zbl 1389.54112Rus, Ioan A. 8 2016 Some generalizations of a Cauchy lemma and applications. Zbl 1224.54104Rus, Ioan A.; Serban, Marcel-Adrian 7 2008 Data dependence of fixed points for non-self generalized contractions. Zbl 1226.47056Chis-Novac, Adela; Precup, Radu; Rus, Ioan A. 7 2009 Ulam stability of the operatorial equations. Zbl 1248.39043Rus, Ioan A. 7 2011 The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026Petruşel, Adrian; Rus, Ioan A. 7 2010 On a fixed point theorem of Maia. Zbl 0374.54039Rus, Ioan A. 7 1977 Metrical fixed point theorems. Zbl 0506.54037Rus, Ioan A. 7 1979 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. 7 2016 Strict fixed point theory. Zbl 1070.47519Rus, Ioan A. 7 2003 The role of equivalent metrics in fixed point theory. Zbl 1278.54044Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 7 2013 Generalized phi-contractions. Zbl 0525.54029Rus, Ioan A. 7 1982 Ulam stability of a nonlinear hyperbolic partial differential equation. Zbl 1249.35219Lungu, Nicolaie; Rus, Ioan A. 7 2008 Fixed point theory for multivalued operators on a set with two metrics. Zbl 1133.47036Petruşel, Adrian; Rus, Ioan A. 7 2007 Kannan contractions and strongly demicontractive mappings. Zbl 1389.47133Măruşter, Ştefan; Rus, Ioan A. 7 2015 Data dependence of the fixed point set of weakly Picard operators. Zbl 1005.54036Rus, Ioan A.; Mureşan, Sorin 6 1998 Data dependence of the fixed points set of multivalued weakly Picard operators. Zbl 1027.47053Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 6 2001 Properties of the solutions of those equations for which the Krasnoselskii iteration converges. Zbl 1275.47126Rus, Ioan A. 6 2012 Results and problems in Ulam stability of operatorial equations and inclusions. Zbl 1311.39052Rus, Ioan A. 6 2014 Fixed points, upper and lower fixed points: abstract Gronwall lemmas. Zbl 1113.54304Rus, Ioan A. 6 2004 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 A class of abstract Volterra equations, via weakly Picard operators technique. Zbl 1197.47080Şerban, M. A.; Rus, I. A.; Petruşel, A. 5 2010 Fixed points for operators on generalized metric spaces. Zbl 1160.54030Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel Adrian 5 2008 Some fixed point theorems for nonself generalized contraction. Zbl 1389.54113Rus, Ioan A.; Şerban, Marcel-Adrian 5 2016 Sur la positivite de la fonction de Green. Zbl 0164.13003Peetre, J.; Rus, I. A. 5 1967 Functional-differential equations with maxima of mixed type. Zbl 1162.34052Otrocol, Diana; Rus, Ioan A. 5 2008 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. 5 2001 Results and problems in the metrical common fixed point theory. Zbl 0427.54024Rus, Ioan A. 5 1979 Multivalued Picard and weakly Picard operators. Zbl 1091.47047Petruşel, Adrian; Rus, Ioan A. 5 2004 On common fixed points. Zbl 0266.54016Rus, Ioan A. 5 1973 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 A fiber generalized contraction theorem and applications. Zbl 1027.47514Rus, Ioan A. 4 1999 Fiber Picard operators theorem and applications. Zbl 1027.47515Rus, Ioan A. 4 1999 Abstract models of step method which imply the convergence of successive approximations. Zbl 1159.47046Rus, Ioan A. 4 2008 First order functional-differential equations with both advanced and retarded arguments. Zbl 1062.34067Rus, Ioan A.; Darzu-Ilea, Veronica 4 2004 Graphic contraction principle and applications. Zbl 07216131Petruşel, A.; Rus, I. A. 4 2019 Fixed point theory in terms of a metric and of an order relation. Zbl 07262291Petruşel, Adrian; Rus, Ioan A. 4 2019 An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. Zbl 1432.54075Petruşel, Adrian; Rus, Ioan A. 4 2013 Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey. Zbl 1217.47145Rus, Ioan A. 3 2010 Fixed point structure theory. Zbl 1110.47047Rus, Ioan A. 3 2006 Step method for some integral equations from biomathematics. Zbl 1249.65288Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian 3 2011 On a functional Volterra-Fredholm integral equation, via Picard operators. Zbl 1195.45035Lungu, Nicolaie; Rus, Ioan A. 3 2009 Weakly Picard operators on a set with two metrics. Zbl 1112.47306Rus, Ioan A.; Mureşan, Anton S.; Mureşan, Viorica 3 2005 An integral equation arising from infectious diseases, via Picard operator. Zbl 1164.45303Dobriţoiu, M.; Rus, I. A.; Şerban, M. A. 3 2007 Fibre Picard operators on gauge spaces and applications. Zbl 1176.47042Rus, I. A.; Petruşel, A.; Şerban, M. A. 3 2008 Nonexpansive operators as graphic contractions. Zbl 1362.47036Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 3 2016 The generalized retraction methods in fixed point theory for nonself operators. Zbl 1326.47067Rus, Ioan A. 3 2014 Iterates of Stancu operators, via contraction principle. Zbl 1249.41020Rus, Ioan A. 3 2002 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. 3 2014 Fixed point theorems for multivalued mappings in complete metric spaces. Zbl 0336.54047Rus, Ioan A. 3 1975 Operators on infinite dimensional Cartesian product. Zbl 1223.47065Rus, Ioan A.; Şerban, Marcel-Adrian 2 2010 A Müller’s example to Cauchy problem: an operatorial point of view. Zbl 1278.47053Rus, Ioan A. 2 2012 Iterates of some bivariate approximation process via weakly Picard operators. Zbl 1206.41021Agratini, Octavian; Rus, Ioan A. 2 2003 Hyperbolic differential inequalities. Zbl 1020.47052Lungu, N.; Rus, I. A. 2 2001 Caristi-Browder operator theory in distance spaces. Zbl 1356.54001Berinde, Vasile; Rus, Ioan A. 2 2016 Functional-differential equations of mixed type, via weakly Picard operators. Zbl 1035.34073Rus, Ioan A. 2 2002 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. 2 2014 Heuristic introduction to weakly Picard operator theory. Zbl 1349.47090Rus, Ioan A. 2 2014 Über eine Methode der sukzessiven Approximationen. Zbl 0249.47054Rus, Ioan A. 2 1972 Iterates of Stancu operators (via fixed point principles) revisited. Zbl 1250.41013Rus, Ioan A. 1 2010 Set-theoretic aspects of fixed point theory of multivalued operators: open problems. Zbl 1082.54527Rus, Ioan A. 1 2005 Kasahara spaces. Zbl 1213.54076Rus, Ioan A. 1 2010 Fixed point and interpolation point set of a positive linear operator on \(C(\overline{D})\). Zbl 1240.41069Rus, Ioan A. 1 2010 Gronwall inequalities via Picard operators. Zbl 1275.47113Lungu, Nicolaie; Rus, Ioan A. 1 2012 Contributions to the fixed point theory of diagonal operators. Zbl 1367.47060Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 1 2016 Some fixed point theorems in terms of two measures of noncompactness. Zbl 1389.47141Precup, Radu; Rus, Ioan A. 1 2014 Data dependence of the fixed points set of multivalued weakly Picard operators in uniform spaces. Zbl 1027.47049Angelov, Vasil G.; Rus, I. A. 1 2000 Fixed points, zeros and surjectivity. Zbl 1027.47513Rus, I. A.; Aldea, F. 1 2000 Fixed point theorems for set-valued \(Y\)-contractions. Zbl 1126.47047Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 1 2007 Graphic contraction principle and applications. Zbl 07216131Petruşel, A.; Rus, I. A. 4 2019 Fixed point theory in terms of a metric and of an order relation. Zbl 07262291Petruşel, Adrian; Rus, Ioan A. 4 2019 Some variants of contraction principle, generalizations and applications. Zbl 1389.54112Rus, Ioan A. 8 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. 7 2016 Some fixed point theorems for nonself generalized contraction. Zbl 1389.54113Rus, Ioan A.; Şerban, Marcel-Adrian 5 2016 Nonexpansive operators as graphic contractions. Zbl 1362.47036Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 3 2016 Caristi-Browder operator theory in distance spaces. Zbl 1356.54001Berinde, Vasile; Rus, Ioan A. 2 2016 Contributions to the fixed point theory of diagonal operators. Zbl 1367.47060Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 1 2016 Remarks on a LaSalle conjecture on global asymptotic stability. Zbl 1372.47068Rus, 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 10 2015 Kannan contractions and strongly demicontractive mappings. Zbl 1389.47133Măruşter, Ştefan; Rus, Ioan A. 7 2015 An abstract point of view on iterative approximation of fixed points of nonself operators. Zbl 1310.47089Berinde, V.; Măruşter, Şt.; Rus, I. A. 8 2014 Results and problems in Ulam stability of operatorial equations and inclusions. Zbl 1311.39052Rus, Ioan A. 6 2014 The generalized retraction methods in fixed point theory for nonself operators. Zbl 1326.47067Rus, Ioan A. 3 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. 3 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. 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 Some fixed point theorems on Cartesian product in terms of vectorial measures of noncompactness. Zbl 1349.47089Rus, Ioan A.; Şerban, Marcel-Adrian 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 10 2013 The role of equivalent metrics in fixed point theory. Zbl 1278.54044Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel-Adrian 7 2013 An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. Zbl 1432.54075Petruşel, Adrian; Rus, Ioan A. 4 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. 9 2012 Properties of the solutions of those equations for which the Krasnoselskii iteration converges. Zbl 1275.47126Rus, Ioan A. 6 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. 7 2011 Step method for some integral equations from biomathematics. Zbl 1249.65288Rus, Ioan A.; Serban, Marcel-Adrian; Trif, Damian 3 2011 Ulam stabilities of ordinary differential equations in a Banach space. Zbl 1224.34164Rus, Ioan A. 106 2010 Fixed point theory for cyclic \(\varphi\)-contractions. Zbl 1191.54042Păcurar, Mădălina; Rus, Ioan A. 76 2010 Gronwall Lemma approach to the hyers-Ulam-Rassias stability of an integral equation. Zbl 1185.45015Rus, Ioan A. 8 2010 The theory of a metric fixed point theorem for multivalued operators. Zbl 1225.54026Petruşel, Adrian; Rus, 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. 5 2010 Some nonlinear functional differential and integral equations, via weakly Picard operator theory: a survey. Zbl 1217.47145Rus, Ioan A. 3 2010 Operators on infinite dimensional Cartesian product. Zbl 1223.47065Rus, Ioan A.; Şerban, Marcel-Adrian 2 2010 Iterates of Stancu operators (via fixed point principles) revisited. Zbl 1250.41013Rus, Ioan A. 1 2010 Kasahara spaces. Zbl 1213.54076Rus, Ioan A. 1 2010 Fixed point and interpolation point set of a positive linear operator on \(C(\overline{D})\). Zbl 1240.41069Rus, Ioan A. 1 2010 Ulam stability of ordinary differential equations. Zbl 1224.34165Rus, Ioan A. 70 2009 Remarks on Ulam stability of the operatorial equations. Zbl 1204.47071Rus, Ioan A. 69 2009 Gronwall lemmas: ten open problems. Zbl 1223.47064Rus, Ioan A. 12 2009 Data dependence of fixed points for non-self generalized contractions. Zbl 1226.47056Chis-Novac, Adela; Precup, Radu; Rus, Ioan A. 7 2009 On a functional Volterra-Fredholm integral equation, via Picard operators. Zbl 1195.45035Lungu, Nicolaie; Rus, Ioan A. 3 2009 Fixed point theory. Zbl 1171.54034Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 69 2008 The theory of a metrical fixed point theorem: theoretical and applicative relevances. Zbl 1172.54030Rus, Ioan A. 33 2008 Fixed point theory in partial metric spaces. Zbl 1199.54244Rus, Ion A. 29 2008 Some generalizations of a Cauchy lemma and applications. Zbl 1224.54104Rus, Ioan A.; Serban, Marcel-Adrian 7 2008 Ulam stability of a nonlinear hyperbolic partial differential equation. Zbl 1249.35219Lungu, Nicolaie; Rus, Ioan A. 7 2008 Functional-differential equations with “maxima” via weakly Picard operators theory. Zbl 1194.34121Otrocol, Diana; Rus, Ioan A. 5 2008 Fixed points for operators on generalized metric spaces. Zbl 1160.54030Petruşel, Adrian; Rus, Ioan A.; Şerban, Marcel Adrian 5 2008 Functional-differential equations with maxima of mixed type. Zbl 1162.34052Otrocol, Diana; Rus, Ioan A. 5 2008 Abstract models of step method which imply the convergence of successive approximations. Zbl 1159.47046Rus, Ioan A. 4 2008 Fibre Picard operators on gauge spaces and applications. Zbl 1176.47042Rus, I. A.; Petruşel, A.; Şerban, M. A. 3 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 31 2007 Well-posedness of the fixed point problem for multivalued operators. Zbl 1169.47037Petruşel, Adrian; Rus, Ioan A. 13 2007 Picard operators and well-posedness of fixed point problems. Zbl 1164.47060Rus, Ioan A. 8 2007 Fixed point theory for multivalued operators on a set with two metrics. Zbl 1133.47036Petruşel, Adrian; Rus, Ioan A. 7 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 An integral equation arising from infectious diseases, via Picard operator. Zbl 1164.45303Dobriţoiu, M.; Rus, I. A.; Şerban, M. A. 3 2007 Fixed point theorems for set-valued \(Y\)-contractions. Zbl 1126.47047Rus, Ioan A.; Petruşel, Adrian; Petruşel, Gabriela 1 2007 Fixed point theorems in ordered \(L\)-spaces. Zbl 1086.47026Petruşel, Adrian; Rus, Ioan A. 97 2006 Weakly Picard operators: equivalent definitions, applications and open problems. Zbl 1111.47048Rus, Ioan A.; Petruşel, Adrian; Şerban, Marcel Adrian 13 2006 Fixed point structure theory. Zbl 1110.47047Rus, Ioan A. 3 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. 20 2005 Weakly Picard operators on a set with two metrics. Zbl 1112.47306Rus, Ioan A.; Mureşan, Anton S.; Mureşan, Viorica 3 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. 20 2004 Fixed points, upper and lower fixed points: abstract Gronwall lemmas. Zbl 1113.54304Rus, Ioan A. 6 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. 55 2003 Data dependence of the fixed point set of some multivalued weakly Picard operators. Zbl 1055.47047Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 39 2003 Iterates of a class of discrete linear operators via contraction principle. Zbl 1096.41015Agratini, Octavian; Rus, Ioan A. 12 2003 Strict fixed point theory. Zbl 1070.47519Rus, Ioan A. 7 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 16 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. 173 2001 Weakly Picard operators and applications. Zbl 1035.47044Rus, Ioan A. 11 2001 Data dependence of the fixed points set of multivalued weakly Picard operators. Zbl 1027.47053Rus, Ioan A.; Petruşel, Adrian; Sîntămărian, Alina 6 2001 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. 5 2001 Hyperbolic differential inequalities. Zbl 1020.47052Lungu, N.; Rus, I. A. 2 2001 Data dependence of the fixed points set of multivalued weakly Picard operators in uniform spaces. Zbl 1027.47049Angelov, Vasil G.; Rus, I. A. 1 2000 Fixed points, zeros and surjectivity. Zbl 1027.47513Rus, I. A.; Aldea, F. 1 2000 An abstract point of view in the nonlinear diference equations. Zbl 1084.47525Rus, Ioan A. 5 1999 A fiber generalized contraction theorem and applications. Zbl 1027.47514Rus, Ioan A. 4 1999 Fiber Picard operators theorem and applications. Zbl 1027.47515Rus, Ioan A. 4 1999 Data dependence of the fixed point set of weakly Picard operators. Zbl 1005.54036Rus, Ioan A.; Mureşan, Sorin 6 1998 Differential equations, integral equations and dynamical systems. (Ecuaţii diferenţiale, ecuaţii integrale şi sisteme dinamice.) Zbl 0922.34001Rus, Ioan A. 1 1996 Weakly Picard mappings. Zbl 0787.54045Rus, Ioan A. 18 1993 A functional-differential model for price fluctuations in a single commodity market. Zbl 0830.90010Rus, Ioan A.; Iancu, Crăciun 1 1993 Basic problems of the metric fixed point theory revisited. II. Zbl 0878.47044Rus, Ioan A. 12 1991 Some remarks on coincidence theory. Zbl 0803.54033Rus, Ioan A. 1 1991 A delay integral equation from biomathematics. Zbl 0749.45004Rus, Ioan A. 1 1989 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 853 Authors 66 Karapınar, Erdal 43 Petruşel, Adrian 29 Shah, Kamal 26 Samet, Bessem 26 Wang, Jinrong 26 Zada, Akbar 25 Benchohra, Mouffak 22 Abbas, Mujahid 20 Abbas, Said 20 Shahzad, Naseer 17 Berinde, Vasile 16 Kumam, Poom 15 Nashine, Hemant Kumar 15 Petruşel, Gabriela 15 Radenovic, Stojan 15 Rus, Ioan A. 14 Vetro, Calogero 13 Aydi, Hassen Mohamed 12 Rakočević, Vladimir 11 Abdeljawad, Thabet 11 Ali, Arshad 11 Nieto Roig, Juan Jose 11 Sadarangani, Kishin B. 11 Sintunavarat, Wutiphol 11 Vetro, Francesca 11 Yao, Jen-Chih 10 Hussain, Nawab 10 Jleli, Mohamed Boussairi 10 Kadelburg, Zoran 10 Nazir, Talat 10 Turinici, Mihai 10 Zhou, Yong 9 Alghamdi, Maryam A. 9 Choudhury, Binayak Samadder 9 de la Sen, Manuel 9 Kamran, Tayyab 9 O’Regan, Donal 9 Şerban, Marcel Adrian 8 Ali, Zeeshan 8 Harjani, Jackie 8 Rhoades, Billy E. 8 Singh, Shyam Lal 7 Bota, Monica-Felicia 7 Jung, Soon-Mo 7 Kucche, Kishor D. 7 Olatinwo, Memudu Olaposi 7 Păcurar, Mădălina 7 Popa, Dorian 7 Shatanawi, Wasfi A. 6 Agarwal, Ravi P. 6 Alsulami, Hamed Hamdan 6 Ansari, Arslan Hojat 6 Chifu, Cristian 6 Khan, Rahmat Ali 6 Li, Yongjin 6 Mihail, Alexandru 6 Nguyen Van Dung 6 Ouahab, Abdelghani 6 Park, Choonkil 6 Parvaneh, Vahid 6 Riaz, Usman 6 Valero, Oscar 5 Ahmad, Mansoor 5 Alfuraidan, Monther Rashed 5 Altun, Ishak 5 Brzdęk, Janusz 5 Elsayed, Elsayed Mohammed 5 Eshaghi Gordji, Madjid 5 Fečkan, Michal 5 Gürsoy, Faik 5 Ivan, Mircea Dumitru 5 Jachymsky, Jacek R. 5 Kanagarajan, Kuppusamy 5 Khojasteh, Farshid 5 Lazreg, Jamal Eddine 5 Li, XueZhu 5 Lungu, Nicolaie 5 Miculescu, Radu 5 Mishra, Swami Nath 5 Saadati, Reza 5 Shah, Syed Omar 5 Shikhare, Pallavi U. 5 Shukla, Satish 5 Sudsutad, Weerawat 5 Taş, Kenan 5 Vetro, Pasquale 5 Vivek, Devaraj 4 Ali, Basit 4 Andres, Jan 4 Beg, Ismat 4 Berzig, Maher 4 Blouhi, Tayeb 4 Butt, Asma Rashid 4 Chandok, Sumit 4 Chen, Chiming 4 Darwish, Mohamed Abdalla 4 Djoudi, Ahcene 4 Fakhar, Majid 4 Fallahi, Kamal 4 Fulga, Andreea ...and 753 more Authors all top 5 Cited in 187 Serials 98 Fixed Point Theory and Applications 43 Abstract and Applied Analysis 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Advances in Difference Equations 27 Journal of Function Spaces 26 Journal of Fixed Point Theory and Applications 25 Journal of Inequalities and Applications 22 Journal of Mathematical Analysis and Applications 21 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 18 Applied Mathematics and Computation 17 AIMS Mathematics 16 Applied Mathematics Letters 15 Filomat 12 Results in Mathematics 11 Computers & Mathematics with Applications 10 Chaos, Solitons and Fractals 10 Journal of Nonlinear Science and Applications 9 Journal of Applied Mathematics 9 Fixed Point Theory 7 Demonstratio Mathematica 7 Nonlinear Analysis. 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Real World Applications 3 Kragujevac Journal of Mathematics 3 Journal of Applied Mathematics and Computing 3 Afrika Matematika 3 Journal of Nonlinear Analysis and Optimization: Theory & Applications 3 Open Mathematics 3 Bollettino dell’Unione Matematica Italiana 3 Constructive Mathematical Analysis 2 Applicable Analysis 2 Indian Journal of Pure & Applied 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 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 2 The Journal of Analysis 2 Georgian Mathematical Journal 2 Complexity 2 Arab Journal of Mathematical Sciences 2 Differential Equations and Dynamical Systems 2 Vietnam Journal of Mathematics 2 Positivity 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Thai Journal of Mathematics 2 Journal of Function Spaces and Applications 2 JP Journal of Fixed Point Theory and Applications 2 Applicable Analysis and Discrete Mathematics 2 European Journal of Pure and Applied Mathematics 2 Set-Valued and Variational Analysis 2 TWMS Journal of Pure and Applied Mathematics 2 ISRN Mathematical Analysis 2 Arabian Journal of Mathematics 2 Problemy Analiza. Issues of Analysis 2 Topological Algebra and its Applications 2 Journal of Mathematical Modeling 2 Journal of Operators 2 Sahand Communications in Mathematical Analysis 2 International Journal of Applied and Computational Mathematics ...and 87 more Serials all top 5 Cited in 39 Fields 436 General topology (54-XX) 358 Operator theory (47-XX) 202 Ordinary differential equations (34-XX) 64 Real functions (26-XX) 60 Integral equations (45-XX) 40 Difference and functional equations (39-XX) 37 Partial differential equations (35-XX) 36 Numerical analysis (65-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 26 Approximations and expansions (41-XX) 25 Measure and integration (28-XX) 25 Functional analysis (46-XX) 18 Dynamical systems and ergodic theory (37-XX) 13 Combinatorics (05-XX) 7 Biology and other natural sciences (92-XX) 6 Integral transforms, operational calculus (44-XX) 6 Systems theory; control (93-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Algebraic topology (55-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 4 Mechanics of deformable solids (74-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year