Edit Profile (opens in new tab) Kirk, William Arthur Co-Author Distance 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 1,087 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 160 Publications have been cited 6,672 times in 3,997 Documents Cited by ▼ Year ▼ Topics in metric fixed point theory. Zbl 0708.47031 Goebel, Kazimierz; Kirk, W. A. 1,122 1990 A fixed point theorem for mappings which do not increase distances. Zbl 0141.32402 Kirk, W. A. 550 1965 A fixed point theorem for asymptotically nonexpansive mappings. Zbl 0256.47045 Goebel, K.; Kirk, W. A. 486 1972 Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032 Kirk, W. A.; Srinivasan, P. S.; Veeramani, P. 288 2003 A concept of convergence in geodesic spaces. Zbl 1145.54041 Kirk, W. A.; Panyanak, B. 284 2008 An introduction to metric spaces and fixed point theory. Zbl 1318.47001 Khamsi, Mohamed A.; Kirk, William A. 233 2001 Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050 Dhompongsa, S.; Kirk, W. A.; Sims, Brailey 202 2006 Fixed point theory in distance spaces. Zbl 1308.58001 Kirk, William; Shahzad, Naseer 185 2014 Handbook of metric fixed point theory. Zbl 0970.54001 173 2001 Proximinal retracts and best proximity pair theorems. Zbl 1054.47040 Kirk, W. A.; Reich, Simeon; Veeramani, P. 168 2003 Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013 Eldred, A. Anthony; Kirk, W. A.; Veeramani, P. 149 2005 Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043 Dhompongsa, S.; Kirk, W. A.; Panyanak, B. 142 2007 Geodesic geometry and fixed point theory. II. Zbl 1083.53061 Kirk, W. A. 136 2004 Geodesic geometry and fixed point theory. Zbl 1058.53061 Kirk, William A. 132 2003 Fixed point theorems for set-valued mappings of contractive type. Zbl 0239.54032 Assad, Nadim A.; Kirk, W. A. 131 1973 Iteration processes for nonexpansive mappings. Zbl 0525.47040 Goebel, Kazimierz; Kirk, W. A. 129 1983 Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020 Kirk, W. A. 107 2004 Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type. Zbl 0286.47034 Kirk, W. A. 92 1974 Fixed points of asymptotic contractions. Zbl 1022.47036 Kirk, W. A. 92 2003 Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012 Espínola, R.; Kirk, W. A. 85 2006 Asymptotic pointwise contractions. Zbl 1172.47038 Kirk, W. A.; Xu, Hong-Kun 79 2008 Caristi’s fixed point theorem and metric convexity. Zbl 0353.53041 Kirk, W. A. 71 1976 Contraction mappings and extensions. Zbl 1019.54001 Kirk, W. A. 68 2001 Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046 Kirk, W. A. 66 1982 A fixed point theorem for transformations whose iterates have uniform Lipschitz constant. Zbl 0265.47044 Goebel, K.; Kirk, W. A. 58 1973 Generalized metrics and Caristi’s theorem. Zbl 1295.54060 Kirk, William A.; Shahzad, Naseer 57 2013 Fixed-point theorems for families of contraction mappings. Zbl 0149.10701 Belluce, L. P.; Kirk, W. A. 52 1966 Geometric fixed point theory and inwardness conditions. Zbl 0315.54052 Caristi, James; Kirk, William A. 50 1975 Nonexpansive mappings and fixed-points in Banach spaces. Zbl 0149.10702 Belluce, L. P.; Kirk, W. A. 45 1967 Fixed point theorems for set-valued mappings in metric and Banach spaces. Zbl 0372.47030 Downing, David; Kirk, W. A. 42 1977 Normal structure in Banach spaces. Zbl 0164.15001 Belluce, L. P.; Kirk, W. A.; Steiner, E. F. 40 1968 On successive approximations for nonexpansive mappings in Banach spaces. Zbl 0223.47024 Kirk, W. A. 39 1971 A generalization of Caristi’s theorem with applications to nonlinear mapping theory. Zbl 0357.47036 Downing, David; Kirk, W. A. 33 1977 Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053 Kirk, W. A.; Massa, Silvio 33 1990 Fixed-point theorems for certain classes of nonexpansive mappings. Zbl 0165.16801 Belluce, L. P.; Kirk, W. A. 32 1969 The Knaster–Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications. Zbl 1068.47072 Kirk, W. A.; Sims, Brailey; Yuan, George Xian-Zhi 30 2000 A fixed point theorem in uniformly convex spaces. Zbl 0265.47045 Goebel, K.; Kirk, W. A.; Shimi, Tawfik N. 29 1973 Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032 Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos 28 2000 Some recent results in metric fixed point theory. Zbl 1139.05315 Kirk, W. A. 27 2007 Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037 Kirk, W. A. 27 1983 Mappings of generalized contractive type. Zbl 0213.14901 Kirk, W. A. 25 1970 Some fixed point results in ultrametric spaces. Zbl 1252.54038 Kirk, W. A.; Shahzad, N. 23 2012 Hyperconvexity of \(\mathbb{R}\)-trees. Zbl 0913.54030 Kirk, W. A. 23 1998 Uniformly Lipschitzian families of transformations in Banach spaces. Zbl 0285.47039 Goebel, K.; Kirk, W. A.; Thele, R. L. 23 1974 Mapping theorems in metric and Banach spaces. Zbl 0313.47041 Kirk, W. A.; Caristi, James 23 1975 The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506 Kirk, W. A.; Saliga, Linda Marie 21 2001 Fixed point theorems for Lipschitzian pseudo-contractive mappings. Zbl 0254.47076 Gatica, Juan A.; Kirk, W. A. 21 1972 Fixed point theorems in hyperconvex spaces. Zbl 0957.46033 Kirk, W. A.; Shin, Sang Sik 21 1997 Classical theory of nonexpansive mappings. Zbl 1035.47033 Goebel, Kazimierz; Kirk, W. A. 20 2001 On nonlinear mappings of strongly semicontractive type. Zbl 0183.15103 Kirk, W. A. 20 1969 Nonexpansive mappings in metric and Banach spaces. Zbl 0519.54029 Kirk, W. A. 19 1981 Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048 Kirk, W. A. 19 1986 Zeros of m-accretive operators in Banach spaces. Zbl 0435.47055 Kirk, W. A.; Schöneberg, R. 19 1980 Proximinality in geodesic spaces. Zbl 1141.51011 Kaewcharoen, A.; Kirk, W. A. 18 2006 Remarks on pseudo-contractive mappings. Zbl 0203.14603 Kirk, W. A. 17 1970 Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040 Kirk, W. A. 16 2000 An abstract fixed point theorem for nonexpansive mappings. Zbl 0471.54027 Kirk, W. A. 16 1981 Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings. Zbl 0277.47034 Gatica, Juan A.; Kirk, W. A. 16 1974 Asymptotically nonexpansive mappings. Zbl 0940.47044 Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik 15 1998 On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077 Khamsi, M. A.; Kirk, W. A. 14 2010 Some results on pseudo-contractive mappings. Zbl 0362.47023 Kirk, W. A.; Schöneberg, Rainald 14 1977 Asymptotically nonexpansive semigroups in Banach spaces. Zbl 0411.47035 Kirk, W. A.; Torrejon, Ricardo 14 1979 A fixed point theorem for local pseudo-contractions in uniformly convex spaces. Zbl 0422.47032 Kirk, W. A. 14 1979 Locally nonexpansive mappings in Banach spaces. Zbl 0475.47040 Kirk, W. A. 13 1981 Local contractions in metric spaces. Zbl 0388.54031 Hu, Thakyin; Kirk, W. A. 13 1978 Some questions in metric fixed point theory. Zbl 0877.47032 Kirk, W. A. 12 1996 Nonexpansive and locally nonexpansive mappings in product spaces. Zbl 0669.47032 Kirk, W. A.; Martinez Yanez, Carlos 11 1988 Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036 Espínola, R.; Kirk, W. A.; López, G. 11 2000 Transfinite methods in metric fixed-point theory. Zbl 1022.54027 Kirk, W. A. 11 2003 On mappings with diminishing orbital diameters. Zbl 0162.54902 Kirk, W. A. 11 1969 Best approximation in \(\mathbb R\)-trees. Zbl 1132.54025 Kirk, W. A.; Panyanak, B. 10 2007 Some fixed point theorems in metric and Banach spaces. Zbl 0195.42901 Belluce, L. P.; Kirk, W. A. 10 1969 Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036 Kaewcharoen, A.; Kirk, W. A. 9 2006 Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces. Zbl 0485.47040 Bruck, R. E.; Kirk, W. A.; Reich, S. 9 1982 The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036 Kirk, W. A.; Sternfeld, Y. 9 1984 Some results on existence and approximation in metric fixed point theory. Zbl 0936.54041 Kirk, W. A.; Saliga, Linda Marie 9 2000 An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces. Zbl 0691.47043 Kirk, W. A. 9 1989 Continuous mappings in compact hyperconvex metric spaces. Zbl 0917.54015 Kirk, W. A. 9 1996 A fixed point theorem revisited. Zbl 0883.47071 Kirk, W. A.; Kang, B. G. 9 1997 Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045 Kirk, W. A.; Shahzad, Naseer 9 2015 Fixed points and approximate fixed points in product spaces. Zbl 0984.54045 Espínola, R.; Kirk, W. A. 8 2001 Some problems in metric fixed point theory. Zbl 1166.47053 Goebel, Kazimierz; Kirk, W. A. 8 2008 Caristi’s fixed point theorem and the theory of normal solvability. Zbl 0377.47042 Kirk, W. A. 8 1976 Fixed-point theorems for mappings defined on unbounded sets in Banach spaces. Zbl 0412.47033 Kirk, W. A.; Ray, William O. 8 1979 Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035 Kirk, William A. 7 1997 The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034 Kirk, W. A. 7 1996 Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058 Kirk, William A.; Shahzad, Naseer 7 2013 Local expansions and accretive mappings. Zbl 0534.47032 Kirk, W. A. 6 1983 Metric fixed point theory: old problems and new directions. Zbl 1216.47085 Kirk, W. A. 6 2010 Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044 Kirk, William A.; Sims, Brailey 6 1999 A fixed point theorem for k-set-contractions defined in a cone. Zbl 0256.47046 Gatica, Juan A.; Kirk, W. A. 6 1974 Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions. Zbl 0322.47036 Kirk, W. A. 6 1975 On the approximation of fixed points of locally nonexpansive mappings. Zbl 0475.47041 Kirk, W. A.; Morales, Claudio 6 1981 Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032 Kirk, W. A.; Martinez-Yanez, Carlos 6 1990 A remark on directional contractions. Zbl 0367.47031 Kirk, W. A.; Ray, William O. 6 1977 Fixed point theorems for nonlinear nonexpansive and generalized contraction mappings. Zbl 0195.42702 Kirk, W. A. 6 1971 Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029 Kirk, William A.; Shahzad, Naseer 6 2014 Hölder continuity and minimal displacement. Zbl 0896.47041 Kirk, W. A. 5 1998 Normal structure and orbital fixed point conditions. Zbl 1392.54032 Kirk, W. A.; Shahzad, Naseer 5 2018 Nonexpansive mappings: Boundary/inwardness conditions and local theory. Zbl 1022.47034 Kirk, W. A.; Morales, C. H. 5 2001 Hyperbolic spaces and directional contractions. Zbl 1470.54075 Kirk, W. A.; Shahzad, Naseer 2 2019 Normal structure and orbital fixed point conditions. Zbl 1392.54032 Kirk, W. A.; Shahzad, Naseer 5 2018 Fixed points of locally nonexpansive mappings in geodesic spaces. Zbl 1354.54043 Kirk, W. A.; Shahzad, Naseer 2 2017 Brailey Sims – a brief biography. Zbl 1388.01021 Dhompongsa, S.; Dominguez-Benavides, T.; Goebel, K.; Kirk, W. A.; Xu, H.-K. 1 2017 Remarks on nonexpansive mappings and related asymptotic conditions. Zbl 1477.47042 Kirk, W. A. 1 2017 Continuation methods in certain metric and geodesic spaces. Zbl 1356.54044 Kirk, W. A.; Shahzad, Naseer 3 2016 Contractive conditions in semimetric spaces. Zbl 1366.54015 Kirk, W. A.; Shahzad, Naseer 2 2016 Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045 Kirk, W. A.; Shahzad, Naseer 9 2015 Metric fixed point theory: a brief retrospective. Zbl 1347.54094 Kirk, William A. 4 2015 Uniformly Lipschitzian mappings in \(\mathbb{R}\)-trees. Zbl 1329.05067 Kirk, W. A.; Shahzad, Naseer 2 2015 Fixed point theory in distance spaces. Zbl 1308.58001 Kirk, William; Shahzad, Naseer 185 2014 Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029 Kirk, William A.; Shahzad, Naseer 6 2014 Remarks on convex combinations in geodesic spaces. Zbl 1301.53038 Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer 5 2014 Locally nonexpansive mappings in geodesic and length spaces. Zbl 1293.53051 Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer 4 2014 Metric fixed point theory for nonexpansive mappings defined on unbounded sets. Zbl 1310.54034 Alghamdi, Maryam A.; Kirk, William A.; Shahzad, Naseer 1 2014 Generalized metrics and Caristi’s theorem. Zbl 1295.54060 Kirk, William A.; Shahzad, Naseer 57 2013 Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058 Kirk, William A.; Shahzad, Naseer 7 2013 Some fixed point results in ultrametric spaces. Zbl 1252.54038 Kirk, W. A.; Shahzad, N. 23 2012 Remarks on approximate fixed points. Zbl 1255.54023 Kirk, W. A. 5 2012 One-local retracts and Banach operator pairs in metric spaces. Zbl 1269.54026 Hussain, N.; Khamsi, M. A.; Kirk, W. A. 2 2012 Remarks on the stability of the fixed point property for nonexpansive mappings. Zbl 1273.47088 Bolibok, Krzysztof; Goebel, Kazimierz; Kirk, W. A. 2 2012 On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077 Khamsi, M. A.; Kirk, W. A. 14 2010 Metric fixed point theory: old problems and new directions. Zbl 1216.47085 Kirk, W. A. 6 2010 A note on geodesically bounded \(\mathbb R\)-trees. Zbl 1288.52005 Kirk, W. A. 1 2010 Remarks on best approximation in \(\mathbb R\)-trees. Zbl 1191.54040 Kirk, William A.; Panyanak, Bancha 4 2009 Approximate fixed points of nonexpansive maps. Zbl 1198.47072 Kirk, W. A. 4 2009 A concept of convergence in geodesic spaces. Zbl 1145.54041 Kirk, W. A.; Panyanak, B. 284 2008 Asymptotic pointwise contractions. Zbl 1172.47038 Kirk, W. A.; Xu, Hong-Kun 79 2008 Some problems in metric fixed point theory. Zbl 1166.47053 Goebel, Kazimierz; Kirk, W. A. 8 2008 Universal nonexpansive maps. Zbl 1185.47056 Kirk, W. A. 2 2008 Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043 Dhompongsa, S.; Kirk, W. A.; Panyanak, B. 142 2007 Some recent results in metric fixed point theory. Zbl 1139.05315 Kirk, W. A. 27 2007 Best approximation in \(\mathbb R\)-trees. Zbl 1132.54025 Kirk, W. A.; Panyanak, B. 10 2007 Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050 Dhompongsa, S.; Kirk, W. A.; Sims, Brailey 202 2006 Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012 Espínola, R.; Kirk, W. A. 85 2006 Proximinality in geodesic spaces. Zbl 1141.51011 Kaewcharoen, A.; Kirk, W. A. 18 2006 Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036 Kaewcharoen, A.; Kirk, W. A. 9 2006 Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013 Eldred, A. Anthony; Kirk, W. A.; Veeramani, P. 149 2005 An ultrafilter approach to locally almost nonexpansive maps. Zbl 1225.47063 Kirk, W. A.; Sims, Brailey 2 2005 Geodesic geometry and fixed point theory. II. Zbl 1083.53061 Kirk, W. A. 136 2004 Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020 Kirk, W. A. 107 2004 Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032 Kirk, W. A.; Srinivasan, P. S.; Veeramani, P. 288 2003 Proximinal retracts and best proximity pair theorems. Zbl 1054.47040 Kirk, W. A.; Reich, Simeon; Veeramani, P. 168 2003 Geodesic geometry and fixed point theory. Zbl 1058.53061 Kirk, William A. 132 2003 Fixed points of asymptotic contractions. Zbl 1022.47036 Kirk, W. A. 92 2003 Transfinite methods in metric fixed-point theory. Zbl 1022.54027 Kirk, W. A. 11 2003 Set-valued contractions and fixed points. Zbl 1025.47032 Espínola, R.; Kirk, W. A. 5 2003 The approximate fixed point property and uniform normal structure in hyperconvex spaces. Zbl 1264.47056 Kirk, W. A. 1 2003 Approximating solutions of the equation \(x=T(x,x)\). Zbl 1012.47026 Kirk, W. A. 2 2002 An introduction to metric spaces and fixed point theory. Zbl 1318.47001 Khamsi, Mohamed A.; Kirk, William A. 233 2001 Handbook of metric fixed point theory. Zbl 0970.54001 173 2001 Contraction mappings and extensions. Zbl 1019.54001 Kirk, W. A. 68 2001 The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506 Kirk, W. A.; Saliga, Linda Marie 21 2001 Classical theory of nonexpansive mappings. Zbl 1035.47033 Goebel, Kazimierz; Kirk, W. A. 20 2001 Fixed points and approximate fixed points in product spaces. Zbl 0984.54045 Espínola, R.; Kirk, W. A. 8 2001 Nonexpansive mappings: Boundary/inwardness conditions and local theory. Zbl 1022.47034 Kirk, W. A.; Morales, C. H. 5 2001 Fixed point properties of mappings satisfying local contractive conditions. Zbl 0996.47059 Espínola, R.; Kim, E. S.; Kirk, W. A. 4 2001 Uniform normal structure and related notions. Zbl 0995.47028 Kirk, W. A.; Sims, Brailey 2 2001 A note on Picard iterates of nonexpansive mappings. Zbl 0973.47040 Kim, Eun Suk; Kirk, W. A. 1 2001 The Knaster–Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications. Zbl 1068.47072 Kirk, W. A.; Sims, Brailey; Yuan, George Xian-Zhi 30 2000 Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032 Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos 28 2000 Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040 Kirk, W. A. 16 2000 Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036 Espínola, R.; Kirk, W. A.; López, G. 11 2000 Some results on existence and approximation in metric fixed point theory. Zbl 0936.54041 Kirk, W. A.; Saliga, Linda Marie 9 2000 Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044 Kirk, William A.; Sims, Brailey 6 1999 Asymptotic properties of nonexpansive iterations in reflexive spaces. Zbl 0951.47055 Rouhani, Behzad Djafari; Kirk, W. A. 4 1999 The Leray-Schauder alternative for nonexpansive maps from the ball characterize Hilbert space. Zbl 0998.47036 Ireland, Michael; Kirk, William A.; Sims, Brailey 1 1999 Hyperconvexity of \(\mathbb{R}\)-trees. Zbl 0913.54030 Kirk, W. A. 23 1998 Asymptotically nonexpansive mappings. Zbl 0940.47044 Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik 15 1998 Hölder continuity and minimal displacement. Zbl 0896.47041 Kirk, W. A. 5 1998 Fixed point theorems in hyperconvex spaces. Zbl 0957.46033 Kirk, W. A.; Shin, Sang Sik 21 1997 A fixed point theorem revisited. Zbl 0883.47071 Kirk, W. A.; Kang, B. G. 9 1997 Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035 Kirk, William A. 7 1997 A note on generalized limits and fixed points. Zbl 0895.46003 Kirk, W. A. 1 1997 Some questions in metric fixed point theory. Zbl 0877.47032 Kirk, W. A. 12 1996 Continuous mappings in compact hyperconvex metric spaces. Zbl 0917.54015 Kirk, W. A. 9 1996 The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034 Kirk, W. A. 7 1996 Constructive aspects of fixed point theory for nonexpansive mappings. Zbl 0844.47031 Büber, Tekamül; Kirk, W. A. 4 1996 A constructive proof of a fixed point theorem of Soardi. Zbl 0824.54025 Büber, Tekamül; Kirk, W. A. 4 1995 Convexity structures and the existence of minimal sets. Zbl 0866.54003 Büber, Tekamül; Kirk, W. A. 3 1995 Antipodal points and fixed points. Zbl 0842.54040 Jaworowski, Jan; Kirk, William A.; Park, Sehie 2 1995 Nonexpansive mappings in separable product spaces. Zbl 0870.47035 Kirk, W. A. 1 1995 Property \((\beta)\) and Edelstein’s algorithms for constructing nearest and farthest points. Zbl 0804.46023 Kirk, W. A. 2 1993 Common fixed points and nonexpansive retracts. Zbl 0780.47041 Kirk, W. A. 3 1992 An application of a generalized Krasnoelskii-Ishikawa iteration process. Zbl 0752.47033 Kirk, W. A. 2 1991 Nearest and farthest points of closed sets in hyperbolic spaces. Zbl 0753.46014 Kirk, W. A. 2 1991 Topics in metric fixed point theory. Zbl 0708.47031 Goebel, Kazimierz; Kirk, W. A. 1,122 1990 Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053 Kirk, W. A.; Massa, Silvio 33 1990 Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032 Kirk, W. A.; Martinez-Yanez, Carlos 6 1990 An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces. Zbl 0691.47043 Kirk, W. A. 9 1989 An ultranet technique in metric fixed point theory. Zbl 0754.47038 Kirk, W. A.; Massa, S. 2 1989 Nonexpansive and locally nonexpansive mappings in product spaces. Zbl 0669.47032 Kirk, W. A.; Martinez Yanez, Carlos 11 1988 The modulus of k-rotundity. Zbl 0649.46012 Kirk, W. A. 3 1988 Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048 Kirk, W. A. 19 1986 Developments in fixed point theory for nonexpansive mappings. Zbl 0576.47031 Belluce, L. P.; Kirk, W. A. 1 1985 The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036 Kirk, W. A.; Sternfeld, Y. 9 1984 Iteration processes for nonexpansive mappings. Zbl 0525.47040 Goebel, Kazimierz; Kirk, W. A. 129 1983 Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037 Kirk, W. A. 27 1983 Local expansions and accretive mappings. Zbl 0534.47032 Kirk, W. A. 6 1983 Remarks on fixed points and boundaries. Zbl 0506.47040 Kirk, W. A. 2 1983 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,736 Authors 102 Kumam, Poom 86 Shahzad, Naseer 76 Karapınar, Erdal 72 Khamsi, Mohamed Amine 69 Reich, Simeon 69 Yao, Jen-Chih 67 Ceng, Lu-Chuan 64 Chang, Shih-Sen 59 Kirk, William Arthur 55 Gabeleh, Moosa 48 Hussain, Nawab 46 Xu, Hong-Kun 45 Cho, Yeol Je 45 Suzuki, Tomonari 41 Chidume, Charles Ejike 41 de la Sen, Manuel 41 Radenovic, Stojan 39 Abbas, Mujahid 38 Kang, Shin Min 37 Panyanak, Bancha 37 Suantai, Suthep 35 Petruşel, Adrian 35 Takahashi, Wataru 33 Wen, Chingfeng 32 Khan, Abdul Rahim 32 Saejung, Satit 30 Aydi, Hassen Mohamed 30 Qin, Xiaolong 29 Llorens-Fuster, Enrique 29 Mewomo, Oluwatosin Temitope 29 Ullah, Kifayat 29 Zaslavski, Alexander Yakovlevich 27 Espínola García, Rafael 27 Wang, Lin 26 Samet, Bessem 26 Yao, Yonghong 25 Ahmad, Junaid 25 Arshad, Muhammad 25 Postolache, Mihai 25 Zegeye, Habtu 24 Basha, S. Sadiq 24 Cui, Yunan 23 Agarwal, Ravi P. 23 Amini-Harandi, Alireza 23 Choudhury, Binayak Samadder 23 Dhompongsa, Sompong 23 Izuchukwu, Chinedu 23 Latif, Abdul 23 Sahu, Daya Ram 23 Su, Yongfu 23 Uddin, Izhar 22 Fukhar-Ud-Din, Hafiz 22 Imdad, Mohammad 22 Kim, Jong Kyu 22 Ugwunnadi, Godwin Chidi 22 Vetro, Calogero 21 Shukla, Rahul 21 Sintunavarat, Wutiphol 20 Alfuraidan, Monther Rashed 20 Garcia-Falset, Jesús 20 Jung, Jong Soo 20 Kuczumow, Tadeusz 20 Liou, Yeongcheng 20 Marino, Giuseppe 20 Rakočević, Vladimir 20 Trương Minh Tuyên 19 Balooee, Javad 19 Bauschke, Heinz H. 19 Cholamjiak, Prasit 19 Cholamjiak, Watcharaporn 19 Khan, Safeer Hussain 18 Kohlenbach, Ulrich Wilhelm 18 Kozłowski, Wojciech M. 18 Wangkeeree, Rabian 17 Abkar, Ali 17 Ansari, Qamrul Hasan 17 Hudzik, Henryk 17 Japón Pineda, María Ángeles 17 Nashine, Hemant Kumar 17 Phuengrattana, Withun 17 Rus, Ioan A. 16 Beg, Ismat 16 Du, Wei-Shih 16 Iiduka, Hideaki 16 Kaewkhao, Attapol 16 Morales, Claudio H. 16 Saluja, Gurucharan Singh 16 Veeramani, P. 16 Wiśnicki, Andrzej 15 Aremu, Kazeem Olalekan 15 Chan, Chi Kin 15 Gao, Ji 15 Jleli, Mohamed Boussairi 15 López Acedo, Genaro 15 Pant, Rajendra 15 Włodarczyk, Kazimierz 15 Wong, Ngai-Ching 14 Abdeljawad, Thabet 14 Abdou, Afrah Ahmad Noan 14 Djafari Rouhani, Behzad ...and 2,636 more Authors all top 5 Cited in 378 Serials 472 Fixed Point Theory and Applications 281 Journal of Mathematical Analysis and Applications 255 Nonlinear Analysis. 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