## Kirk, William Arthur

Compute Distance To:
 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 1,029 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)

### Citations contained in zbMATH Open

158 Publications have been cited 5,918 times in 3,555 Documents Cited by Year
Topics in metric fixed point theory. Zbl 0708.47031
Goebel, Kazimierz; Kirk, W. A.
1990
A fixed point theorem for mappings which do not increase distances. Zbl 0141.32402
Kirk, W. A.
1965
A fixed point theorem for asymptotically nonexpansive mappings. Zbl 0256.47045
Goebel, K.; Kirk, W. A.
1972
Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032
Kirk, W. A.; Srinivasan, P. S.; Veeramani, P.
2003
A concept of convergence in geodesic spaces. Zbl 1145.54041
Kirk, W. A.; Panyanak, B.
2008
An introduction to metric spaces and fixed point theory. Zbl 1318.47001
Khamsi, Mohamed A.; Kirk, William A.
2001
Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050
Dhompongsa, S.; Kirk, W. A.; Sims, Brailey
2006
Proximinal retracts and best proximity pair theorems. Zbl 1054.47040
Kirk, W. A.; Reich, Simeon; Veeramani, P.
2003
Fixed point theory in distance spaces. Zbl 1308.58001
2014
Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013
Eldred, A. Anthony; Kirk, W. A.; Veeramani, P.
2005
Handbook of metric fixed point theory. Zbl 0970.54001
2001
Geodesic geometry and fixed point theory. II. Zbl 1083.53061
Kirk, W. A.
2004
Fixed point theorems for set-valued mappings of contractive type. Zbl 0239.54032
1973
Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043
Dhompongsa, S.; Kirk, W. A.; Panyanak, B.
2007
Geodesic geometry and fixed point theory. Zbl 1058.53061
Kirk, William A.
2003
Iteration processes for nonexpansive mappings. Zbl 0525.47040
Goebel, Kazimierz; Kirk, W. A.
1983
Fixed point theorems in CAT(0) spaces and $$\mathbb R$$-trees. Zbl 1089.54020
Kirk, W. A.
2004
Fixed points of asymptotic contractions. Zbl 1022.47036
Kirk, W. A.
2003
Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type. Zbl 0286.47034
Kirk, W. A.
1974
Fixed point theorems in $$\mathbb R$$-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
2006
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
2008
Caristi’s fixed point theorem and metric convexity. Zbl 0353.53041
Kirk, W. A.
1976
Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046
Kirk, W. A.
1982
A fixed point theorem for transformations whose iterates have uniform Lipschitz constant. Zbl 0265.47044
Goebel, K.; Kirk, W. A.
1973
Contraction mappings and extensions. Zbl 1019.54001
Kirk, W. A.
2001
Fixed-point theorems for families of contraction mappings. Zbl 0149.10701
Belluce, L. P.; Kirk, W. A.
1966
Generalized metrics and Caristi’s theorem. Zbl 1295.54060
2013
Nonexpansive mappings and fixed-points in Banach spaces. Zbl 0149.10702
Belluce, L. P.; Kirk, W. A.
1967
Fixed point theorems for set-valued mappings in metric and Banach spaces. Zbl 0372.47030
Downing, David; Kirk, W. A.
1977
Normal structure in Banach spaces. Zbl 0164.15001
Belluce, L. P.; Kirk, W. A.; Steiner, E. F.
1968
Geometric fixed point theory and inwardness conditions. Zbl 0315.54052
Caristi, James; Kirk, William A.
1975
On successive approximations for nonexpansive mappings in Banach spaces. Zbl 0223.47024
Kirk, W. A.
1971
Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053
Kirk, W. A.; Massa, Silvio
1990
A generalization of Caristi’s theorem with applications to nonlinear mapping theory. Zbl 0357.47036
Downing, David; Kirk, W. A.
1977
Fixed-point theorems for certain classes of nonexpansive mappings. Zbl 0165.16801
Belluce, L. P.; Kirk, W. A.
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
2000
Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032
Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos
2000
A fixed point theorem in uniformly convex spaces. Zbl 0265.47045
Goebel, K.; Kirk, W. A.; Shimi, Tawfik N.
1973
Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037
Kirk, W. A.
1983
Mappings of generalized contractive type. Zbl 0213.14901
Kirk, W. A.
1970
Some recent results in metric fixed point theory. Zbl 1139.05315
Kirk, W. A.
2007
Hyperconvexity of $$\mathbb{R}$$-trees. Zbl 0913.54030
Kirk, W. A.
1998
Uniformly Lipschitzian families of transformations in Banach spaces. Zbl 0285.47039
Goebel, K.; Kirk, W. A.; Thele, R. L.
1974
Mapping theorems in metric and Banach spaces. Zbl 0313.47041
Kirk, W. A.; Caristi, James
1975
Some fixed point results in ultrametric spaces. Zbl 1252.54038
2012
Fixed point theorems in hyperconvex spaces. Zbl 0957.46033
Kirk, W. A.; Shin, Sang Sik
1997
Fixed point theorems for Lipschitzian pseudo-contractive mappings. Zbl 0254.47076
Gatica, Juan A.; Kirk, W. A.
1972
On nonlinear mappings of strongly semicontractive type. Zbl 0183.15103
Kirk, W. A.
1969
Zeros of m-accretive operators in Banach spaces. Zbl 0435.47055
Kirk, W. A.; Schöneberg, R.
1980
The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506
Kirk, W. A.; Saliga, Linda Marie
2001
Proximinality in geodesic spaces. Zbl 1141.51011
Kaewcharoen, A.; Kirk, W. A.
2006
Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048
Kirk, W. A.
1986
Remarks on pseudo-contractive mappings. Zbl 0203.14603
Kirk, W. A.
1970
Classical theory of nonexpansive mappings. Zbl 1035.47033
Goebel, Kazimierz; Kirk, W. A.
2001
Nonexpansive mappings in metric and Banach spaces. Zbl 0519.54029
Kirk, W. A.
1981
Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings. Zbl 0277.47034
Gatica, Juan A.; Kirk, W. A.
1974
An abstract fixed point theorem for nonexpansive mappings. Zbl 0471.54027
Kirk, W. A.
1981
Asymptotically nonexpansive mappings. Zbl 0940.47044
Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik
1998
Asymptotically nonexpansive semigroups in Banach spaces. Zbl 0411.47035
Kirk, W. A.; Torrejon, Ricardo
1979
A fixed point theorem for local pseudo-contractions in uniformly convex spaces. Zbl 0422.47032
Kirk, W. A.
1979
On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077
Khamsi, M. A.; Kirk, W. A.
2010
Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040
Kirk, W. A.
2000
Some results on pseudo-contractive mappings. Zbl 0362.47023
Kirk, W. A.; Schöneberg, Rainald
1977
Some questions in metric fixed point theory. Zbl 0877.47032
Kirk, W. A.
1996
Transfinite methods in metric fixed-point theory. Zbl 1022.54027
Kirk, W. A.
2003
Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036
Espínola, R.; Kirk, W. A.; López, G.
2000
Nonexpansive and locally nonexpansive mappings in product spaces. Zbl 0669.47032
Kirk, W. A.; Martinez Yanez, Carlos
1988
On mappings with diminishing orbital diameters. Zbl 0162.54902
Kirk, W. A.
1969
Local contractions in metric spaces. Zbl 0388.54031
Hu, Thakyin; Kirk, W. A.
1978
Best approximation in $$\mathbb R$$-trees. Zbl 1132.54025
Kirk, W. A.; Panyanak, B.
2007
Some results on existence and approximation in metric fixed point theory. Zbl 0936.54041
Kirk, W. A.; Saliga, Linda Marie
2000
Continuous mappings in compact hyperconvex metric spaces. Zbl 0917.54015
Kirk, W. A.
1996
The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036
Kirk, W. A.; Sternfeld, Y.
1984
Locally nonexpansive mappings in Banach spaces. Zbl 0475.47040
Kirk, W. A.
1981
An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces. Zbl 0691.47043
Kirk, W. A.
1989
Some fixed point theorems in metric and Banach spaces. Zbl 0195.42901
Belluce, L. P.; Kirk, W. A.
1969
Fixed points and approximate fixed points in product spaces. Zbl 0984.54045
Espínola, R.; Kirk, W. A.
2001
A fixed point theorem revisited. Zbl 0883.47071
Kirk, W. A.; Kang, B. G.
1997
Fixed-point theorems for mappings defined on unbounded sets in Banach spaces. Zbl 0412.47033
Kirk, W. A.; Ray, William O.
1979
The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034
Kirk, W. A.
1996
Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces. Zbl 0485.47040
Bruck, R. E.; Kirk, W. A.; Reich, S.
1982
Caristi’s fixed point theorem and the theory of normal solvability. Zbl 0377.47042
Kirk, W. A.
1976
Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036
Kaewcharoen, A.; Kirk, W. A.
2006
Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058
2013
Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045
2015
Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044
Kirk, William A.; Sims, Brailey
1999
Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029
2014
Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032
Kirk, W. A.; Martinez-Yanez, Carlos
1990
Local expansions and accretive mappings. Zbl 0534.47032
Kirk, W. A.
1983
On the approximation of fixed points of locally nonexpansive mappings. Zbl 0475.47041
Kirk, W. A.; Morales, Claudio
1981
Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035
Kirk, William A.
1997
Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions. Zbl 0322.47036
Kirk, W. A.
1975
A remark on directional contractions. Zbl 0367.47031
Kirk, W. A.; Ray, William O.
1977
Fixed point theorems for nonlinear nonexpansive and generalized contraction mappings. Zbl 0195.42702
Kirk, W. A.
1971
Metric fixed point theory: old problems and new directions. Zbl 1216.47085
Kirk, W. A.
2010
A fixed point theorem for k-set-contractions defined in a cone. Zbl 0256.47046
Gatica, Juan A.; Kirk, W. A.
1974
Nonexpansive mappings: Boundary/inwardness conditions and local theory. Zbl 1022.47034
Kirk, W. A.; Morales, C. H.
2001
Mapping theorems for local expansions in metric and Banach spaces. Zbl 0415.54008
Kirk, W. A.; Schöneberg, R.
1979
Fixed point theorems for local strong pseudo-contractions. Zbl 0434.47046
Kirk, W. A.; Morales, Claudio
1980
Nonexpansive mappings and the weak closure of sequences of iterates. Zbl 0185.39501
Kirk, W. A.
1969
Hyperbolic spaces and directional contractions. Zbl 1470.54075
2019
Normal structure and orbital fixed point conditions. Zbl 1392.54032
2018
Fixed points of locally nonexpansive mappings in geodesic spaces. Zbl 1354.54043
2017
Brailey Sims – a brief biography. Zbl 1388.01021
Dhompongsa, S.; Dominguez-Benavides, T.; Goebel, K.; Kirk, W. A.; Xu, H.-K.
2017
Continuation methods in certain metric and geodesic spaces. Zbl 1356.54044
2016
Contractive conditions in semimetric spaces. Zbl 1366.54015
2016
Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045
2015
Metric fixed point theory: a brief retrospective. Zbl 1347.54094
Kirk, William A.
2015
Uniformly Lipschitzian mappings in $$\mathbb{R}$$-trees. Zbl 1329.05067
2015
Fixed point theory in distance spaces. Zbl 1308.58001
2014
Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029
2014
Locally nonexpansive mappings in geodesic and length spaces. Zbl 1293.53051
Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer
2014
Remarks on convex combinations in geodesic spaces. Zbl 1301.53038
Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer
2014
Metric fixed point theory for nonexpansive mappings defined on unbounded sets. Zbl 1310.54034
Alghamdi, Maryam A.; Kirk, William A.; Shahzad, Naseer
2014
Generalized metrics and Caristi’s theorem. Zbl 1295.54060
2013
Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058
2013
Some fixed point results in ultrametric spaces. Zbl 1252.54038
2012
Remarks on approximate fixed points. Zbl 1255.54023
Kirk, W. A.
2012
One-local retracts and Banach operator pairs in metric spaces. Zbl 1269.54026
Hussain, N.; Khamsi, M. A.; Kirk, W. A.
2012
Remarks on the stability of the fixed point property for nonexpansive mappings. Zbl 1273.47088
Bolibok, Krzysztof; Goebel, Kazimierz; Kirk, W. A.
2012
On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077
Khamsi, M. A.; Kirk, W. A.
2010
Metric fixed point theory: old problems and new directions. Zbl 1216.47085
Kirk, W. A.
2010
A note on geodesically bounded $$\mathbb R$$-trees. Zbl 1288.52005
Kirk, W. A.
2010
Remarks on best approximation in $$\mathbb R$$-trees. Zbl 1191.54040
Kirk, William A.; Panyanak, Bancha
2009
Approximate fixed points of nonexpansive maps. Zbl 1198.47072
Kirk, W. A.
2009
A concept of convergence in geodesic spaces. Zbl 1145.54041
Kirk, W. A.; Panyanak, B.
2008
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
2008
Some problems in metric fixed point theory. Zbl 1166.47053
Goebel, Kazimierz; Kirk, W. A.
2008
Universal nonexpansive maps. Zbl 1185.47056
Kirk, W. A.
2008
Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043
Dhompongsa, S.; Kirk, W. A.; Panyanak, B.
2007
Some recent results in metric fixed point theory. Zbl 1139.05315
Kirk, W. A.
2007
Best approximation in $$\mathbb R$$-trees. Zbl 1132.54025
Kirk, W. A.; Panyanak, B.
2007
Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050
Dhompongsa, S.; Kirk, W. A.; Sims, Brailey
2006
Fixed point theorems in $$\mathbb R$$-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
2006
Proximinality in geodesic spaces. Zbl 1141.51011
Kaewcharoen, A.; Kirk, W. A.
2006
Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036
Kaewcharoen, A.; Kirk, W. A.
2006
Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013
Eldred, A. Anthony; Kirk, W. A.; Veeramani, P.
2005
An ultrafilter approach to locally almost nonexpansive maps. Zbl 1225.47063
Kirk, W. A.; Sims, Brailey
2005
Geodesic geometry and fixed point theory. II. Zbl 1083.53061
Kirk, W. A.
2004
Fixed point theorems in CAT(0) spaces and $$\mathbb R$$-trees. Zbl 1089.54020
Kirk, W. A.
2004
Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032
Kirk, W. A.; Srinivasan, P. S.; Veeramani, P.
2003
Proximinal retracts and best proximity pair theorems. Zbl 1054.47040
Kirk, W. A.; Reich, Simeon; Veeramani, P.
2003
Geodesic geometry and fixed point theory. Zbl 1058.53061
Kirk, William A.
2003
Fixed points of asymptotic contractions. Zbl 1022.47036
Kirk, W. A.
2003
Transfinite methods in metric fixed-point theory. Zbl 1022.54027
Kirk, W. A.
2003
Set-valued contractions and fixed points. Zbl 1025.47032
Espínola, R.; Kirk, W. A.
2003
The approximate fixed point property and uniform normal structure in hyperconvex spaces. Zbl 1264.47056
Kirk, W. A.
2003
Approximating solutions of the equation $$x=T(x,x)$$. Zbl 1012.47026
Kirk, W. A.
2002
An introduction to metric spaces and fixed point theory. Zbl 1318.47001
Khamsi, Mohamed A.; Kirk, William A.
2001
Handbook of metric fixed point theory. Zbl 0970.54001
2001
Contraction mappings and extensions. Zbl 1019.54001
Kirk, W. A.
2001
The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506
Kirk, W. A.; Saliga, Linda Marie
2001
Classical theory of nonexpansive mappings. Zbl 1035.47033
Goebel, Kazimierz; Kirk, W. A.
2001
Fixed points and approximate fixed points in product spaces. Zbl 0984.54045
Espínola, R.; Kirk, W. A.
2001
Nonexpansive mappings: Boundary/inwardness conditions and local theory. Zbl 1022.47034
Kirk, W. A.; Morales, C. H.
2001
Fixed point properties of mappings satisfying local contractive conditions. Zbl 0996.47059
Espínola, R.; Kim, E. S.; Kirk, W. A.
2001
Uniform normal structure and related notions. Zbl 0995.47028
Kirk, W. A.; Sims, Brailey
2001
A note on Picard iterates of nonexpansive mappings. Zbl 0973.47040
Kim, Eun Suk; Kirk, W. A.
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
2000
Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032
Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos
2000
Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040
Kirk, W. A.
2000
Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036
Espínola, R.; Kirk, W. A.; López, G.
2000
Some results on existence and approximation in metric fixed point theory. Zbl 0936.54041
Kirk, W. A.; Saliga, Linda Marie
2000
Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044
Kirk, William A.; Sims, Brailey
1999
Asymptotic properties of nonexpansive iterations in reflexive spaces. Zbl 0951.47055
Rouhani, Behzad Djafari; Kirk, W. A.
1999
The Leray-Schauder alternative for nonexpansive maps from the ball characterize Hilbert space. Zbl 0998.47036
Ireland, Michael; Kirk, William A.; Sims, Brailey
1999
Hyperconvexity of $$\mathbb{R}$$-trees. Zbl 0913.54030
Kirk, W. A.
1998
Asymptotically nonexpansive mappings. Zbl 0940.47044
Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik
1998
Hölder continuity and minimal displacement. Zbl 0896.47041
Kirk, W. A.
1998
Fixed point theorems in hyperconvex spaces. Zbl 0957.46033
Kirk, W. A.; Shin, Sang Sik
1997
A fixed point theorem revisited. Zbl 0883.47071
Kirk, W. A.; Kang, B. G.
1997
Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035
Kirk, William A.
1997
A note on generalized limits and fixed points. Zbl 0895.46003
Kirk, W. A.
1997
Some questions in metric fixed point theory. Zbl 0877.47032
Kirk, W. A.
1996
Continuous mappings in compact hyperconvex metric spaces. Zbl 0917.54015
Kirk, W. A.
1996
The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034
Kirk, W. A.
1996
Constructive aspects of fixed point theory for nonexpansive mappings. Zbl 0844.47031
Büber, Tekamül; Kirk, W. A.
1996
A constructive proof of a fixed point theorem of Soardi. Zbl 0824.54025
Büber, Tekamül; Kirk, W. A.
1995
Convexity structures and the existence of minimal sets. Zbl 0866.54003
Büber, Tekamül; Kirk, W. A.
1995
Nonexpansive mappings in separable product spaces. Zbl 0870.47035
Kirk, W. A.
1995
Antipodal points and fixed points. Zbl 0842.54040
Jaworowski, Jan; Kirk, William A.; Park, Sehie
1995
Property $$(\beta)$$ and Edelstein’s algorithms for constructing nearest and farthest points. Zbl 0804.46023
Kirk, W. A.
1993
Common fixed points and nonexpansive retracts. Zbl 0780.47041
Kirk, W. A.
1992
An application of a generalized Krasnoelskii-Ishikawa iteration process. Zbl 0752.47033
Kirk, W. A.
1991
Nearest and farthest points of closed sets in hyperbolic spaces. Zbl 0753.46014
Kirk, W. A.
1991
Topics in metric fixed point theory. Zbl 0708.47031
Goebel, Kazimierz; Kirk, W. A.
1990
Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053
Kirk, W. A.; Massa, Silvio
1990
Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032
Kirk, W. A.; Martinez-Yanez, Carlos
1990
An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces. Zbl 0691.47043
Kirk, W. A.
1989
An ultranet technique in metric fixed point theory. Zbl 0754.47038
Kirk, W. A.; Massa, S.
1989
Nonexpansive and locally nonexpansive mappings in product spaces. Zbl 0669.47032
Kirk, W. A.; Martinez Yanez, Carlos
1988
The modulus of k-rotundity. Zbl 0649.46012
Kirk, W. A.
1988
Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048
Kirk, W. A.
1986
Developments in fixed point theory for nonexpansive mappings. Zbl 0576.47031
Belluce, L. P.; Kirk, W. A.
1985
The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036
Kirk, W. A.; Sternfeld, Y.
1984
Iteration processes for nonexpansive mappings. Zbl 0525.47040
Goebel, Kazimierz; Kirk, W. A.
1983
Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037
Kirk, W. A.
1983
Local expansions and accretive mappings. Zbl 0534.47032
Kirk, W. A.
1983
Remarks on fixed points and boundaries. Zbl 0506.47040
Kirk, W. A.
1983
Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046
Kirk, W. A.
1982
...and 58 more Documents
all top 5

all top 5

### Cited in 345 Serials

 472 Fixed Point Theory and Applications 275 Journal of Mathematical Analysis and Applications 236 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 176 Abstract and Applied Analysis 117 Journal of Fixed Point Theory and Applications 109 Proceedings of the American Mathematical Society 107 Journal of Inequalities and Applications 86 Nonlinear Analysis. Theory, Methods & Applications 65 Applied Mathematics and Computation 64 Journal of Function Spaces 61 Numerical Functional Analysis and Optimization 54 Journal of Applied Mathematics 53 Bulletin of the Australian Mathematical Society 48 Filomat 48 Journal of Nonlinear Science and Applications 46 Thai Journal of Mathematics 37 Computers & Mathematics with Applications 37 Journal of Optimization Theory and Applications 36 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 30 Topology and its Applications 27 Journal of Computational and Applied Mathematics 27 Rendiconti del Circolo Matemàtico di Palermo. Serie II 27 Applied Mathematics Letters 24 Optimization 23 International Journal of Mathematics and Mathematical Sciences 22 Transactions of the American Mathematical Society 22 Afrika Matematika 22 Journal of Mathematics 21 Journal of Global Optimization 21 Optimization Letters 21 Asian-European Journal of Mathematics 19 Mathematical and Computer Modelling 18 Demonstratio Mathematica 18 Journal of Functional Analysis 17 The Journal of Analysis 15 Numerical Algorithms 15 Nonlinear Functional Analysis and Applications 15 Journal of Applied Mathematics and Computing 14 Israel Journal of Mathematics 14 Nonlinear Analysis. Modelling and Control 14 Mediterranean Journal of Mathematics 14 Advances in Difference Equations 14 Arabian Journal of Mathematics 13 Fuzzy Sets and Systems 13 Applied General Topology 13 Mathematical Sciences 12 Applied Mathematics and Mechanics. (English Edition) 12 Computational and Applied Mathematics 12 Vietnam Journal of Mathematics 12 Acta Mathematica Sinica. English Series 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Nonlinear Analysis. Hybrid Systems 12 AIMS Mathematics 11 Topological Methods in Nonlinear Analysis 11 Journal of the Egyptian Mathematical Society 11 Fixed Point Theory 11 Bulletin of the American Mathematical Society 11 Symmetry 11 Journal of Nonlinear Analysis and Optimization: Theory & Applications 11 Journal of Linear and Topological Algebra 10 Chaos, Solitons and Fractals 10 Journal of Approximation Theory 10 Sahand Communications in Mathematical Analysis 9 Results in Mathematics 9 Discrete Dynamics in Nature and Society 9 JP Journal of Fixed Point Theory and Applications 9 Set-Valued and Variational Analysis 9 International Journal of Analysis 9 Open Mathematics 8 Rocky Mountain Journal of Mathematics 8 Advances in Mathematics 8 Mathematische Nachrichten 8 Arab Journal of Mathematical Sciences 8 Journal of the Australian Mathematical Society 8 Journal of Mathematical Extension 7 Kodai Mathematical Journal 7 Quaestiones Mathematicae 7 Central European Journal of Mathematics 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 Annals of Functional Analysis 6 Journal of Mathematics and Computer Science. JMCS 6 ISRN Mathematical Analysis 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 5 Mathematical Problems in Engineering 5 Journal of Applied Analysis ...and 245 more Serials
all top 5

### Cited in 54 Fields

 2,560 Operator theory (47-XX) 1,427 General topology (54-XX) 472 Functional analysis (46-XX) 297 Numerical analysis (65-XX) 273 Calculus of variations and optimal control; optimization (49-XX) 218 Operations research, mathematical programming (90-XX) 96 Approximations and expansions (41-XX) 64 Integral equations (45-XX) 60 Ordinary differential equations (34-XX) 50 Dynamical systems and ergodic theory (37-XX) 38 Differential geometry (53-XX) 37 Convex and discrete geometry (52-XX) 33 Mathematical logic and foundations (03-XX) 32 Real functions (26-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Combinatorics (05-XX) 25 Probability theory and stochastic processes (60-XX) 23 Partial differential equations (35-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 21 Abstract harmonic analysis (43-XX) 19 Computer science (68-XX) 17 Measure and integration (28-XX) 15 Algebraic topology (55-XX) 14 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) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Information and communication theory, circuits (94-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)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.