Edit Profile (opens in new tab) Kirk, William Arthur Compute Distance To: Compute Author ID: kirk.william-a Published as: Kirk, W. A.; Kirk, William A.; Kirk, William more...less Homepage: http://homepage.math.uiowa.edu/~kirk/ External Links: MGP · Wikidata Documents Indexed: 179 Publications since 1964, including 4 Books 3 Contributions as Editor Reviewing Activity: 2 Reviews Co-Authors: 51 Co-Authors with 107 Joint Publications 1,040 Co-Co-Authors all top 5 Co-Authors 72 single-authored 19 Shahzad, Naseer 13 Goebel, Kazimierz 10 Sims, Brailey 6 Belluce, Lawrence Peter 5 Alghamdi, Maryam A. 5 Espínola García, Rafael 5 Panyanak, Bancha 4 Dhompongsa, Sompong 4 Khamsi, Mohamed Amine 4 Martinez-Yanez, Carlos 4 Morales, Claudio H. 3 Büber, Tekamül 3 Gatica, Juan A. 3 Ray, William O. 3 Schöneberg, Rainald 3 Veeramani, P. 2 Caristi, James 2 Hu, Thakyin 2 Kaewcharoen, Anchalee 2 Kim, Eun Suk 2 Kim, Tae Hwa 2 Massa, Silvio 2 Reich, Simeon 2 Saliga, Linda Marie 2 Shin, Sangsik 2 Thele, R. L. 2 Xu, Hong-Kun 1 Anderson, Melissa S. 1 Assad, Nadim A. 1 Bolibok, Krzysztof 1 Bruck, Ronald E. jun. 1 Djafari Rouhani, Behzad 1 Eldred, A. Anthony 1 Fetter Nathansky, Helga Andrea 1 Gamboa de Buen, Berta 1 Hanson, David L. 1 Huff, Barthel W. 1 Hussain, Nawab 1 Ireland, Michael 1 Jaworowski, Jan Włodzimierz 1 López Acedo, Genaro 1 Park, Sehie 1 Plubtieng, Somyot 1 Royalty, W. D. 1 Shimi, Tawfik N. 1 Srinivasan, P. S. 1 Steiner, E. F. 1 Sternfeld, Yaki 1 Suantai, Suthep 1 Torrejón, Ricardo M. 1 Yuan, George Xian-Zhi all top 5 Serials 14 Proceedings of the American Mathematical Society 10 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Pacific Journal of Mathematics 8 Journal of Nonlinear and Convex Analysis 8 Fixed Point Theory and Applications 7 Nonlinear Analysis. Theory, Methods & Applications 6 Numerical Functional Analysis and Optimization 5 Fixed Point Theory 4 Studia Mathematica 4 Topology and its Applications 3 Houston Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Colloquium Mathematicum 3 Journal of Fixed Point Theory and Applications 2 American Mathematical Monthly 2 Israel Journal of Mathematics 2 Annales Polonici Mathematici 2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Mathematica Japonica 2 Simon Stevin 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Abstract and Applied Analysis 2 Bulletin of Mathematical Sciences 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Taiwanese Journal of Mathematics 1 Nonlinear Analysis Forum 1 Cubo Matemática Educacional 1 Bollettino della Unione Matematica Italiana. Series IV 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Journal of the London Mathematical Society 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes Series, Seoul 1 Wiadomości Matematyczne 1 Arabian Journal of Mathematics 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts all top 5 Fields 137 Operator theory (47-XX) 96 General topology (54-XX) 26 Functional analysis (46-XX) 14 Combinatorics (05-XX) 9 Differential geometry (53-XX) 4 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-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 158 Publications have been cited 6,055 times in 3,619 Documents Cited by ▼ Year ▼ Topics in metric fixed point theory. Zbl 0708.47031Goebel, Kazimierz; Kirk, W. A. 954 1990 A fixed point theorem for mappings which do not increase distances. Zbl 0141.32402Kirk, W. A. 516 1965 A fixed point theorem for asymptotically nonexpansive mappings. Zbl 0256.47045Goebel, K.; Kirk, W. A. 461 1972 Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032Kirk, W. A.; Srinivasan, P. S.; Veeramani, P. 259 2003 A concept of convergence in geodesic spaces. Zbl 1145.54041Kirk, W. A.; Panyanak, B. 257 2008 An introduction to metric spaces and fixed point theory. Zbl 1318.47001Khamsi, Mohamed A.; Kirk, William A. 215 2001 Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050Dhompongsa, S.; Kirk, W. A.; Sims, Brailey 185 2006 Proximinal retracts and best proximity pair theorems. Zbl 1054.47040Kirk, W. A.; Reich, Simeon; Veeramani, P. 157 2003 Fixed point theory in distance spaces. Zbl 1308.58001Kirk, William; Shahzad, Naseer 149 2014 Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013Eldred, A. Anthony; Kirk, W. A.; Veeramani, P. 138 2005 Handbook of metric fixed point theory. Zbl 0970.54001 136 2001 Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043Dhompongsa, S.; Kirk, W. A.; Panyanak, B. 124 2007 Fixed point theorems for set-valued mappings of contractive type. Zbl 0239.54032Assad, Nadim A.; Kirk, W. A. 123 1973 Geodesic geometry and fixed point theory. II. Zbl 1083.53061Kirk, W. A. 123 2004 Iteration processes for nonexpansive mappings. Zbl 0525.47040Goebel, Kazimierz; Kirk, W. A. 114 1983 Geodesic geometry and fixed point theory. Zbl 1058.53061Kirk, William A. 114 2003 Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020Kirk, W. A. 101 2004 Fixed points of asymptotic contractions. Zbl 1022.47036Kirk, W. A. 88 2003 Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type. Zbl 0286.47034Kirk, W. A. 86 1974 Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012Espínola, R.; Kirk, W. A. 77 2006 Asymptotic pointwise contractions. Zbl 1172.47038Kirk, W. A.; Xu, Hong-Kun 74 2008 Caristi’s fixed point theorem and metric convexity. Zbl 0353.53041Kirk, W. A. 68 1976 Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046Kirk, W. A. 59 1982 A fixed point theorem for transformations whose iterates have uniform Lipschitz constant. Zbl 0265.47044Goebel, K.; Kirk, W. A. 58 1973 Contraction mappings and extensions. Zbl 1019.54001Kirk, W. A. 54 2001 Fixed-point theorems for families of contraction mappings. Zbl 0149.10701Belluce, L. P.; Kirk, W. A. 51 1966 Generalized metrics and Caristi’s theorem. Zbl 1295.54060Kirk, William A.; Shahzad, Naseer 46 2013 Nonexpansive mappings and fixed-points in Banach spaces. Zbl 0149.10702Belluce, L. P.; Kirk, W. A. 43 1967 Fixed point theorems for set-valued mappings in metric and Banach spaces. Zbl 0372.47030Downing, David; Kirk, W. A. 42 1977 Normal structure in Banach spaces. Zbl 0164.15001Belluce, L. P.; Kirk, W. A.; Steiner, E. F. 40 1968 Geometric fixed point theory and inwardness conditions. Zbl 0315.54052Caristi, James; Kirk, William A. 39 1975 On successive approximations for nonexpansive mappings in Banach spaces. Zbl 0223.47024Kirk, W. A. 35 1971 Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053Kirk, W. A.; Massa, Silvio 33 1990 A generalization of Caristi’s theorem with applications to nonlinear mapping theory. Zbl 0357.47036Downing, David; Kirk, W. A. 33 1977 Fixed-point theorems for certain classes of nonexpansive mappings. Zbl 0165.16801Belluce, L. P.; Kirk, W. A. 32 1969 The Knaster–Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications. Zbl 1068.47072Kirk, W. A.; Sims, Brailey; Yuan, George Xian-Zhi 30 2000 Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos 28 2000 Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037Kirk, W. A. 27 1983 A fixed point theorem in uniformly convex spaces. Zbl 0265.47045Goebel, K.; Kirk, W. A.; Shimi, Tawfik N. 26 1973 Mappings of generalized contractive type. Zbl 0213.14901Kirk, W. A. 25 1970 Some recent results in metric fixed point theory. Zbl 1139.05315Kirk, W. A. 25 2007 Uniformly Lipschitzian families of transformations in Banach spaces. Zbl 0285.47039Goebel, K.; Kirk, W. A.; Thele, R. L. 24 1974 Hyperconvexity of \(\mathbb{R}\)-trees. Zbl 0913.54030Kirk, W. A. 23 1998 Mapping theorems in metric and Banach spaces. Zbl 0313.47041Kirk, W. A.; Caristi, James 23 1975 Some fixed point results in ultrametric spaces. Zbl 1252.54038Kirk, W. A.; Shahzad, N. 22 2012 Fixed point theorems in hyperconvex spaces. Zbl 0957.46033Kirk, W. A.; Shin, Sang Sik 21 1997 Fixed point theorems for Lipschitzian pseudo-contractive mappings. Zbl 0254.47076Gatica, Juan A.; Kirk, W. A. 21 1972 On nonlinear mappings of strongly semicontractive type. Zbl 0183.15103Kirk, W. A. 20 1969 Classical theory of nonexpansive mappings. Zbl 1035.47033Goebel, Kazimierz; Kirk, W. A. 19 2001 Zeros of m-accretive operators in Banach spaces. Zbl 0435.47055Kirk, W. A.; Schöneberg, R. 19 1980 The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506Kirk, W. A.; Saliga, Linda Marie 18 2001 Proximinality in geodesic spaces. Zbl 1141.51011Kaewcharoen, A.; Kirk, W. A. 18 2006 Nonexpansive mappings in metric and Banach spaces. Zbl 0519.54029Kirk, W. A. 17 1981 Remarks on pseudo-contractive mappings. Zbl 0203.14603Kirk, W. A. 17 1970 Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048Kirk, W. A. 17 1986 An abstract fixed point theorem for nonexpansive mappings. Zbl 0471.54027Kirk, W. A. 16 1981 Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings. Zbl 0277.47034Gatica, Juan A.; Kirk, W. A. 16 1974 Asymptotically nonexpansive mappings. Zbl 0940.47044Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik 15 1998 On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077Khamsi, M. A.; Kirk, W. A. 14 2010 Asymptotically nonexpansive semigroups in Banach spaces. Zbl 0411.47035Kirk, W. A.; Torrejon, Ricardo 14 1979 A fixed point theorem for local pseudo-contractions in uniformly convex spaces. Zbl 0422.47032Kirk, W. A. 14 1979 Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040Kirk, W. A. 14 2000 Some results on pseudo-contractive mappings. Zbl 0362.47023Kirk, W. A.; Schöneberg, Rainald 13 1977 Some questions in metric fixed point theory. Zbl 0877.47032Kirk, W. A. 12 1996 Local contractions in metric spaces. Zbl 0388.54031Hu, Thakyin; Kirk, W. A. 12 1978 Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036Espínola, R.; Kirk, W. A.; López, G. 11 2000 Transfinite methods in metric fixed-point theory. Zbl 1022.54027Kirk, W. A. 11 2003 On mappings with diminishing orbital diameters. Zbl 0162.54902Kirk, W. A. 11 1969 Nonexpansive and locally nonexpansive mappings in product spaces. Zbl 0669.47032Kirk, W. A.; Martinez Yanez, Carlos 11 1988 Some fixed point theorems in metric and Banach spaces. Zbl 0195.42901Belluce, L. P.; Kirk, W. A. 10 1969 Best approximation in \(\mathbb R\)-trees. Zbl 1132.54025Kirk, W. A.; Panyanak, B. 10 2007 The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036Kirk, W. A.; Sternfeld, Y. 9 1984 A fixed point theorem revisited. Zbl 0883.47071Kirk, W. A.; Kang, B. G. 9 1997 Locally nonexpansive mappings in Banach spaces. Zbl 0475.47040Kirk, W. A. 9 1981 Continuous mappings in compact hyperconvex metric spaces. Zbl 0917.54015Kirk, W. A. 9 1996 Some results on existence and approximation in metric fixed point theory. Zbl 0936.54041Kirk, W. A.; Saliga, Linda Marie 9 2000 An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces. Zbl 0691.47043Kirk, W. A. 9 1989 Fixed points and approximate fixed points in product spaces. Zbl 0984.54045Espínola, R.; Kirk, W. A. 8 2001 Fixed-point theorems for mappings defined on unbounded sets in Banach spaces. Zbl 0412.47033Kirk, W. A.; Ray, William O. 8 1979 Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces. Zbl 0485.47040Bruck, R. E.; Kirk, W. A.; Reich, S. 7 1982 Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045Kirk, W. A.; Shahzad, Naseer 7 2015 Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036Kaewcharoen, A.; Kirk, W. A. 7 2006 Caristi’s fixed point theorem and the theory of normal solvability. Zbl 0377.47042Kirk, W. A. 7 1976 The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034Kirk, W. A. 7 1996 Local expansions and accretive mappings. Zbl 0534.47032Kirk, W. A. 6 1983 Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035Kirk, William A. 6 1997 A fixed point theorem for k-set-contractions defined in a cone. Zbl 0256.47046Gatica, Juan A.; Kirk, W. A. 6 1974 Fixed point theorems for nonlinear nonexpansive and generalized contraction mappings. Zbl 0195.42702Kirk, W. A. 6 1971 Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029Kirk, William A.; Shahzad, Naseer 6 2014 Metric fixed point theory: old problems and new directions. Zbl 1216.47085Kirk, W. A. 6 2010 On the approximation of fixed points of locally nonexpansive mappings. Zbl 0475.47041Kirk, W. A.; Morales, Claudio 6 1981 Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032Kirk, W. A.; Martinez-Yanez, Carlos 6 1990 Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058Kirk, William A.; Shahzad, Naseer 6 2013 A remark on directional contractions. Zbl 0367.47031Kirk, W. A.; Ray, William O. 6 1977 Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044Kirk, William A.; Sims, Brailey 6 1999 Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions. Zbl 0322.47036Kirk, W. A. 6 1975 Some problems in metric fixed point theory. Zbl 1166.47053Goebel, Kazimierz; Kirk, W. A. 6 2008 Nonexpansive mappings: Boundary/inwardness conditions and local theory. Zbl 1022.47034Kirk, W. A.; Morales, C. H. 5 2001 Nonexpansive mappings and the weak closure of sequences of iterates. Zbl 0185.39501Kirk, W. A. 5 1969 Mapping theorems for local expansions in metric and Banach spaces. Zbl 0415.54008Kirk, W. A.; Schöneberg, R. 5 1979 Hyperbolic spaces and directional contractions. Zbl 1470.54075Kirk, W. A.; Shahzad, Naseer 1 2019 Normal structure and orbital fixed point conditions. Zbl 1392.54032Kirk, W. A.; Shahzad, Naseer 3 2018 Fixed points of locally nonexpansive mappings in geodesic spaces. Zbl 1354.54043Kirk, W. A.; Shahzad, Naseer 2 2017 Brailey Sims – a brief biography. Zbl 1388.01021Dhompongsa, S.; Dominguez-Benavides, T.; Goebel, K.; Kirk, W. A.; Xu, H.-K. 1 2017 Contractive conditions in semimetric spaces. Zbl 1366.54015Kirk, W. A.; Shahzad, Naseer 2 2016 Continuation methods in certain metric and geodesic spaces. Zbl 1356.54044Kirk, W. A.; Shahzad, Naseer 2 2016 Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045Kirk, W. A.; Shahzad, Naseer 7 2015 Metric fixed point theory: a brief retrospective. Zbl 1347.54094Kirk, William A. 4 2015 Uniformly Lipschitzian mappings in \(\mathbb{R}\)-trees. Zbl 1329.05067Kirk, W. A.; Shahzad, Naseer 2 2015 Fixed point theory in distance spaces. Zbl 1308.58001Kirk, William; Shahzad, Naseer 149 2014 Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029Kirk, William A.; Shahzad, Naseer 6 2014 Locally nonexpansive mappings in geodesic and length spaces. Zbl 1293.53051Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer 4 2014 Remarks on convex combinations in geodesic spaces. Zbl 1301.53038Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer 3 2014 Metric fixed point theory for nonexpansive mappings defined on unbounded sets. Zbl 1310.54034Alghamdi, Maryam A.; Kirk, William A.; Shahzad, Naseer 1 2014 Generalized metrics and Caristi’s theorem. Zbl 1295.54060Kirk, William A.; Shahzad, Naseer 46 2013 Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058Kirk, William A.; Shahzad, Naseer 6 2013 Some fixed point results in ultrametric spaces. Zbl 1252.54038Kirk, W. A.; Shahzad, N. 22 2012 Remarks on approximate fixed points. Zbl 1255.54023Kirk, W. A. 3 2012 One-local retracts and Banach operator pairs in metric spaces. Zbl 1269.54026Hussain, N.; Khamsi, M. A.; Kirk, W. A. 2 2012 Remarks on the stability of the fixed point property for nonexpansive mappings. Zbl 1273.47088Bolibok, Krzysztof; Goebel, Kazimierz; Kirk, W. A. 2 2012 On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077Khamsi, M. A.; Kirk, W. A. 14 2010 Metric fixed point theory: old problems and new directions. Zbl 1216.47085Kirk, W. A. 6 2010 A note on geodesically bounded \(\mathbb R\)-trees. Zbl 1288.52005Kirk, W. A. 1 2010 Remarks on best approximation in \(\mathbb R\)-trees. Zbl 1191.54040Kirk, William A.; Panyanak, Bancha 4 2009 Approximate fixed points of nonexpansive maps. Zbl 1198.47072Kirk, W. A. 3 2009 A concept of convergence in geodesic spaces. Zbl 1145.54041Kirk, W. A.; Panyanak, B. 257 2008 Asymptotic pointwise contractions. Zbl 1172.47038Kirk, W. A.; Xu, Hong-Kun 74 2008 Some problems in metric fixed point theory. Zbl 1166.47053Goebel, Kazimierz; Kirk, W. A. 6 2008 Universal nonexpansive maps. Zbl 1185.47056Kirk, W. A. 1 2008 Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043Dhompongsa, S.; Kirk, W. A.; Panyanak, B. 124 2007 Some recent results in metric fixed point theory. Zbl 1139.05315Kirk, W. A. 25 2007 Best approximation in \(\mathbb R\)-trees. Zbl 1132.54025Kirk, W. A.; Panyanak, B. 10 2007 Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050Dhompongsa, S.; Kirk, W. A.; Sims, Brailey 185 2006 Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012Espínola, R.; Kirk, W. A. 77 2006 Proximinality in geodesic spaces. Zbl 1141.51011Kaewcharoen, A.; Kirk, W. A. 18 2006 Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036Kaewcharoen, A.; Kirk, W. A. 7 2006 Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013Eldred, A. Anthony; Kirk, W. A.; Veeramani, P. 138 2005 An ultrafilter approach to locally almost nonexpansive maps. Zbl 1225.47063Kirk, W. A.; Sims, Brailey 2 2005 Geodesic geometry and fixed point theory. II. Zbl 1083.53061Kirk, W. A. 123 2004 Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020Kirk, W. A. 101 2004 Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032Kirk, W. A.; Srinivasan, P. S.; Veeramani, P. 259 2003 Proximinal retracts and best proximity pair theorems. Zbl 1054.47040Kirk, W. A.; Reich, Simeon; Veeramani, P. 157 2003 Geodesic geometry and fixed point theory. Zbl 1058.53061Kirk, William A. 114 2003 Fixed points of asymptotic contractions. Zbl 1022.47036Kirk, W. A. 88 2003 Transfinite methods in metric fixed-point theory. Zbl 1022.54027Kirk, W. A. 11 2003 Set-valued contractions and fixed points. Zbl 1025.47032Espínola, R.; Kirk, W. A. 4 2003 The approximate fixed point property and uniform normal structure in hyperconvex spaces. Zbl 1264.47056Kirk, W. A. 1 2003 Approximating solutions of the equation \(x=T(x,x)\). Zbl 1012.47026Kirk, W. A. 2 2002 An introduction to metric spaces and fixed point theory. Zbl 1318.47001Khamsi, Mohamed A.; Kirk, William A. 215 2001 Handbook of metric fixed point theory. Zbl 0970.54001 136 2001 Contraction mappings and extensions. Zbl 1019.54001Kirk, W. A. 54 2001 Classical theory of nonexpansive mappings. Zbl 1035.47033Goebel, Kazimierz; Kirk, W. A. 19 2001 The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506Kirk, W. A.; Saliga, Linda Marie 18 2001 Fixed points and approximate fixed points in product spaces. Zbl 0984.54045Espínola, R.; Kirk, W. A. 8 2001 Nonexpansive mappings: Boundary/inwardness conditions and local theory. Zbl 1022.47034Kirk, W. A.; Morales, C. H. 5 2001 Fixed point properties of mappings satisfying local contractive conditions. Zbl 0996.47059Espínola, R.; Kim, E. S.; Kirk, W. A. 4 2001 Uniform normal structure and related notions. Zbl 0995.47028Kirk, W. A.; Sims, Brailey 2 2001 A note on Picard iterates of nonexpansive mappings. Zbl 0973.47040Kim, Eun Suk; Kirk, W. A. 1 2001 The Knaster–Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications. Zbl 1068.47072Kirk, W. A.; Sims, Brailey; Yuan, George Xian-Zhi 30 2000 Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos 28 2000 Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040Kirk, W. A. 14 2000 Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036Espínola, R.; Kirk, W. A.; López, G. 11 2000 Some results on existence and approximation in metric fixed point theory. Zbl 0936.54041Kirk, W. A.; Saliga, Linda Marie 9 2000 Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044Kirk, William A.; Sims, Brailey 6 1999 Asymptotic properties of nonexpansive iterations in reflexive spaces. Zbl 0951.47055Rouhani, Behzad Djafari; Kirk, W. A. 4 1999 The Leray-Schauder alternative for nonexpansive maps from the ball characterize Hilbert space. Zbl 0998.47036Ireland, Michael; Kirk, William A.; Sims, Brailey 1 1999 Hyperconvexity of \(\mathbb{R}\)-trees. Zbl 0913.54030Kirk, W. A. 23 1998 Asymptotically nonexpansive mappings. Zbl 0940.47044Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik 15 1998 Hölder continuity and minimal displacement. Zbl 0896.47041Kirk, W. A. 4 1998 Fixed point theorems in hyperconvex spaces. Zbl 0957.46033Kirk, W. A.; Shin, Sang Sik 21 1997 A fixed point theorem revisited. Zbl 0883.47071Kirk, W. A.; Kang, B. G. 9 1997 Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035Kirk, William A. 6 1997 A note on generalized limits and fixed points. Zbl 0895.46003Kirk, W. A. 1 1997 Some questions in metric fixed point theory. Zbl 0877.47032Kirk, W. A. 12 1996 Continuous mappings in compact hyperconvex metric spaces. Zbl 0917.54015Kirk, W. A. 9 1996 The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034Kirk, W. A. 7 1996 Constructive aspects of fixed point theory for nonexpansive mappings. Zbl 0844.47031Büber, Tekamül; Kirk, W. A. 3 1996 A constructive proof of a fixed point theorem of Soardi. Zbl 0824.54025Büber, Tekamül; Kirk, W. A. 4 1995 Convexity structures and the existence of minimal sets. Zbl 0866.54003Büber, Tekamül; Kirk, W. A. 3 1995 Nonexpansive mappings in separable product spaces. Zbl 0870.47035Kirk, W. A. 1 1995 Antipodal points and fixed points. Zbl 0842.54040Jaworowski, Jan; Kirk, William A.; Park, Sehie 1 1995 Property \((\beta)\) and Edelstein’s algorithms for constructing nearest and farthest points. Zbl 0804.46023Kirk, W. A. 2 1993 Common fixed points and nonexpansive retracts. Zbl 0780.47041Kirk, W. A. 3 1992 An application of a generalized Krasnoelskii-Ishikawa iteration process. Zbl 0752.47033Kirk, W. A. 2 1991 Nearest and farthest points of closed sets in hyperbolic spaces. Zbl 0753.46014Kirk, W. A. 2 1991 Topics in metric fixed point theory. Zbl 0708.47031Goebel, Kazimierz; Kirk, W. A. 954 1990 Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053Kirk, W. A.; Massa, Silvio 33 1990 Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032Kirk, W. A.; Martinez-Yanez, Carlos 6 1990 An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces. Zbl 0691.47043Kirk, W. A. 9 1989 An ultranet technique in metric fixed point theory. Zbl 0754.47038Kirk, W. A.; Massa, S. 2 1989 Nonexpansive and locally nonexpansive mappings in product spaces. Zbl 0669.47032Kirk, W. A.; Martinez Yanez, Carlos 11 1988 The modulus of k-rotundity. Zbl 0649.46012Kirk, W. A. 2 1988 Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048Kirk, W. A. 17 1986 Developments in fixed point theory for nonexpansive mappings. Zbl 0576.47031Belluce, L. P.; Kirk, W. A. 1 1985 The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036Kirk, W. A.; Sternfeld, Y. 9 1984 Iteration processes for nonexpansive mappings. Zbl 0525.47040Goebel, Kazimierz; Kirk, W. A. 114 1983 Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037Kirk, W. A. 27 1983 Local expansions and accretive mappings. Zbl 0534.47032Kirk, W. A. 6 1983 Remarks on fixed points and boundaries. Zbl 0506.47040Kirk, W. A. 2 1983 Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046Kirk, W. A. 59 1982 ...and 58 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,431 Authors 90 Kumam, Poom 82 Shahzad, Naseer 73 Karapınar, Erdal 72 Khamsi, Mohamed Amine 59 Ceng, Lu-Chuan 59 Chang, Shih-Sen 59 Kirk, William Arthur 59 Reich, Simeon 59 Yao, Jen-Chih 50 Gabeleh, Moosa 48 Hussain, Nawab 43 Suzuki, Tomonari 42 Cho, Yeol Je 41 Chidume, Charles Ejike 41 Xu, Hong-Kun 38 de la Sen, Manuel 38 Kang, Shin Min 37 Panyanak, Bancha 35 Abbas, Mujahid 35 Radenovic, Stojan 35 Takahashi, Wataru 33 Suantai, Suthep 32 Saejung, Satit 31 Petruşel, Adrian 31 Wen, Chingfeng 30 Qin, Xiaolong 29 Aydi, Hassen Mohamed 29 Llorens-Fuster, Enrique 26 Khan, Abdul Rahim 26 Wang, Lin 25 Samet, Bessem 25 Zaslavski, Alexander Yakovlevich 24 Basha, S. Sadiq 24 Espínola García, Rafael 24 Postolache, Mihai 23 Agarwal, Ravi P. 23 Amini-Harandi, Alireza 23 Cui, Yunan 23 Dhompongsa, Sompong 23 Fukhar-Ud-Din, Hafiz 23 Latif, Abdul 23 Mewomo, Oluwatosin Temitope 23 Su, Yongfu 22 Yao, Yonghong 22 Zegeye, Habtu 21 Kim, Jong Kyu 21 Sintunavarat, Wutiphol 21 Uddin, Izhar 21 Ullah, Kifayat 21 Vetro, Calogero 20 Alfuraidan, Monther Rashed 20 Choudhury, Binayak Samadder 20 Garcia-Falset, Jesús 20 Imdad, Mohammad 20 Izuchukwu, Chinedu 20 Jung, Jong Soo 20 Sahu, Daya Ram 19 Khan, Safeer Hussain 19 Kuczumow, Tadeusz 19 Liou, Yeongcheng 19 Marino, Giuseppe 19 Ugwunnadi, Godwin Chidi 18 Ahmad, Junaid 18 Bauschke, Heinz H. 18 Kohlenbach, Ulrich Wilhelm 18 Rakočević, Vladimir 17 Abkar, Ali 17 Cholamjiak, Watcharaporn 17 Kozłowski, Wojciech M. 17 Pant, Rajendra Prasad 17 Wangkeeree, Rabian 16 Beg, Ismat 16 Cholamjiak, Prasit 16 Hudzik, Henryk 16 Japón Pineda, María Ángeles 16 Kaewkhao, Attapol 16 Morales, Claudio H. 16 Nashine, Hemant Kumar 15 Chan, Chi Kin 15 Du, Wei-Shih 15 Iiduka, Hideaki 15 Phuengrattana, Withun 15 Saluja, Gurucharan Singh 15 Shukla, Rahul 15 Veeramani, P. 15 Włodarczyk, Kazimierz 15 Wong, Ngai-Ching 14 Domínguez Benavides, T. 14 Fakhar, Majid 14 Gao, Ji 14 Jleli, Mohamed Boussairi 14 Kadelburg, Zoran 14 Lau, Anthony To-Ming 14 Nicolae, Adriana 14 O’Regan, Donal 14 Plebaniak, Robert 14 Rus, Ioan A. 14 Wiśnicki, Andrzej 13 Abdeljawad, Thabet 13 Abdou, Afrah Ahmad Noan ...and 2,331 more Authors all top 5 Cited in 350 Serials 472 Fixed Point Theory and Applications 275 Journal of Mathematical Analysis and Applications 236 Nonlinear Analysis. 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Seria Matematică-Informatică 7 Annals of Functional Analysis 6 Mathematica Slovaca 6 Zeitschrift für Analysis und ihre Anwendungen 6 Acta Applicandae Mathematicae 6 Journal of the Nigerian Mathematical Society 6 Mathematical Programming. Series A. Series B 6 Banach Journal of Mathematical Analysis 6 Functional Analysis, Approximation and Computation 6 Journal of Mathematics and Computer Science. JMCS 6 ISRN Mathematical Analysis 6 Korean Journal of Mathematics 6 Journal of Nonlinear and Variational Analysis 5 Studia Mathematica 5 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 5 Archiv der Mathematik 5 Czechoslovak Mathematical Journal 5 Journal of Soviet Mathematics 5 Matematički Vesnik 5 Bulletin of the Iranian Mathematical Society 5 Applied Mathematics. Series B (English Edition) 5 Boletín de la Sociedad Matemática Mexicana. Third Series ...and 250 more Serials all top 5 Cited in 54 Fields 2,607 Operator theory (47-XX) 1,459 General topology (54-XX) 476 Functional analysis (46-XX) 304 Numerical analysis (65-XX) 281 Calculus of variations and optimal control; optimization (49-XX) 222 Operations research, mathematical programming (90-XX) 96 Approximations and expansions (41-XX) 68 Integral equations (45-XX) 63 Ordinary differential equations (34-XX) 51 Dynamical systems and ergodic theory (37-XX) 39 Convex and discrete geometry (52-XX) 37 Differential geometry (53-XX) 34 Mathematical logic and foundations (03-XX) 33 Real functions (26-XX) 31 Combinatorics (05-XX) 31 Global analysis, analysis on manifolds (58-XX) 25 Probability theory and stochastic processes (60-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Partial differential equations (35-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 21 Abstract harmonic analysis (43-XX) 20 Measure and integration (28-XX) 20 Computer science (68-XX) 16 Algebraic topology (55-XX) 15 Difference and functional equations (39-XX) 13 Systems theory; control (93-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Geometry (51-XX) 8 Biology and other natural sciences (92-XX) 7 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 6 Sequences, series, summability (40-XX) 5 Functions of a complex variable (30-XX) 5 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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