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Kirk, William Arthur

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Author ID: kirk.william-a Recent zbMATH articles by "Kirk, William Arthur"
Published as: Kirk, W. A.; Kirk, William; Kirk, William A.
Homepage: http://homepage.math.uiowa.edu/~kirk/
External Links: MGP · Wikidata
Documents Indexed: 180 Publications since 1964, including 7 Books
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 Fixed Point Theory and Applications
7 Journal of Nonlinear and Convex Analysis
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
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 Wiadomości Matematyczne
1 Bulletin of Mathematical Sciences
1 Arabian Journal of Mathematics
1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts

Publications by Year

Citations contained in zbMATH

155 Publications have been cited 5,239 times in 3,112 Documents Cited by Year
Topics in metric fixed point theory. Zbl 0708.47031
Goebel, Kazimierz; Kirk, W. A.
886
1990
A fixed point theorem for mappings which do not increase distances. Zbl 0141.32402
Kirk, W. A.
435
1965
A fixed point theorem for asymptotically nonexpansive mappings. Zbl 0256.47045
Goebel, K.; Kirk, W. A.
425
1972
Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032
Kirk, W. A.; Srinivasan, P. S.; Veeramani, P.
199
2003
A concept of convergence in geodesic spaces. Zbl 1145.54041
Kirk, W. A.; Panyanak, B.
184
2008
An introduction to metric spaces and fixed point theory. Zbl 1318.47001
Khamsi, Mohamed A.; Kirk, William A.
181
2001
Handbook of metric fixed point theory. Zbl 0970.54001
Kirk, William A. (ed.); Sims, Brailey (ed.)
135
2001
Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050
Dhompongsa, S.; Kirk, W. A.; Sims, Brailey
134
2006
Proximinal retracts and best proximity pair theorems. Zbl 1054.47040
Kirk, W. A.; Reich, Simeon; Veeramani, P.
133
2003
Geodesic geometry and fixed point theory. II. Zbl 1083.53061
Kirk, W. A.
115
2004
Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013
Eldred, A. Anthony; Kirk, W. A.; Veeramani, P.
111
2005
Fixed point theorems for set-valued mappings of contractive type. Zbl 0239.54032
Assad, Nadim A.; Kirk, W. A.
109
1973
Geodesic geometry and fixed point theory. Zbl 1058.53061
Kirk, William A.
96
2003
Iteration processes for nonexpansive mappings. Zbl 0525.47040
Goebel, Kazimierz; Kirk, W. A.
95
1983
Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type. Zbl 0286.47034
Kirk, W. A.
86
1974
Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043
Dhompongsa, S.; Kirk, W. A.; Panyanak, B.
85
2007
Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020
Kirk, W. A.
84
2004
Fixed point theory in distance spaces. Zbl 1308.58001
Kirk, William; Shahzad, Naseer
82
2014
Fixed points of asymptotic contractions. Zbl 1022.47036
Kirk, W. A.
76
2003
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
66
2008
Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
57
2006
Caristi’s fixed point theorem and metric convexity. Zbl 0353.53041
Kirk, W. A.
55
1976
A fixed point theorem for transformations whose iterates have uniform Lipschitz constant. Zbl 0265.47044
Goebel, K.; Kirk, W. A.
54
1973
Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046
Kirk, W. A.
53
1982
Fixed-point theorems for families of contraction mappings. Zbl 0149.10701
Belluce, L. P.; Kirk, W. A.
48
1966
Contraction mappings and extensions. Zbl 1019.54001
Kirk, W. A.
47
2001
Geometric fixed point theory and inwardness conditions. Zbl 0315.54052
Caristi, James; Kirk, William A.
41
1975
Fixed point theorems for set-valued mappings in metric and Banach spaces. Zbl 0372.47030
Downing, David; Kirk, W. A.
40
1977
Nonexpansive mappings and fixed-points in Banach spaces. Zbl 0149.10702
Belluce, L. P.; Kirk, W. A.
40
1967
Generalized metrics and Caristi’s theorem. Zbl 1295.54060
Kirk, William A.; Shahzad, Naseer
35
2013
Normal structure in Banach spaces. Zbl 0164.15001
Belluce, L. P.; Kirk, W. A.; Steiner, E. F.
35
1968
On successive approximations for nonexpansive mappings in Banach spaces. Zbl 0223.47024
Kirk, W. A.
32
1971
Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053
Kirk, W. A.; Massa, Silvio
31
1990
A generalization of Caristi’s theorem with applications to nonlinear mapping theory. Zbl 0357.47036
Downing, David; Kirk, W. A.
31
1977
Fixed-point theorems for certain classes of nonexpansive mappings. Zbl 0165.16801
Belluce, L. P.; Kirk, W. A.
31
1969
Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032
Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos
28
2000
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
26
2000
Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037
Kirk, W. A.
25
1983
Mappings of generalized contractive type. Zbl 0213.14901
Kirk, W. A.
25
1970
Mapping theorems in metric and Banach spaces. Zbl 0313.47041
Kirk, W. A.; Caristi, James
22
1975
Hyperconvexity of \(\mathbb{R}\)-trees. Zbl 0913.54030
Kirk, W. A.
21
1998
Fixed point theorems in hyperconvex spaces. Zbl 0957.46033
Kirk, W. A.; Shin, Sang Sik
21
1997
Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048
Kirk, W. A.
21
1986
Uniformly Lipschitzian families of transformations in Banach spaces. Zbl 0285.47039
Goebel, K.; Kirk, W. A.; Thele, R. L.
21
1974
A fixed point theorem in uniformly convex spaces. Zbl 0265.47045
Goebel, K.; Kirk, W. A.; Shimi, Tawfik N.
21
1973
Fixed point theorems for Lipschitzian pseudo-contractive mappings. Zbl 0254.47076
Gatica, Juan A.; Kirk, W. A.
21
1972
On nonlinear mappings of strongly semicontractive type. Zbl 0183.15103
Kirk, W. A.
20
1969
Some recent results in metric fixed point theory. Zbl 1139.05315
Kirk, W. A.
19
2007
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.
17
2006
The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506
Kirk, W. A.; Saliga, Linda Marie
17
2001
Nonexpansive mappings in metric and Banach spaces. Zbl 0519.54029
Kirk, W. A.
17
1981
Remarks on pseudo-contractive mappings. Zbl 0203.14603
Kirk, W. A.
17
1970
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
Classical theory of nonexpansive mappings. Zbl 1035.47033
Goebel, Kazimierz; Kirk, W. A.
15
2001
Asymptotically nonexpansive mappings. Zbl 0940.47044
Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik
14
1998
A fixed point theorem for local pseudo-contractions in uniformly convex spaces. Zbl 0422.47032
Kirk, W. A.
14
1979
On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077
Khamsi, M. A.; Kirk, W. A.
13
2010
Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040
Kirk, W. A.
13
2000
Locally nonexpansive mappings in Banach spaces. Zbl 0475.47040
Kirk, W. A.
13
1981
An abstract fixed point theorem for nonexpansive mappings. Zbl 0471.54027
Kirk, W. A.
13
1981
Asymptotically nonexpansive semigroups in Banach spaces. Zbl 0411.47035
Kirk, W. A.; Torrejon, Ricardo
13
1979
Some results on pseudo-contractive mappings. Zbl 0362.47023
Kirk, W. A.; Schöneberg, Rainald
13
1977
Some fixed point results in ultrametric spaces. Zbl 1252.54038
Kirk, W. A.; Shahzad, N.
12
2012
Some questions in metric fixed point theory. Zbl 0877.47032
Kirk, W. A.
12
1996
Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036
Espínola, R.; Kirk, W. A.; López, G.
11
2000
Nonexpansive and locally nonexpansive mappings in product spaces. Zbl 0669.47032
Kirk, W. A.; Martinez Yanez, Carlos
11
1988
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
Transfinite methods in metric fixed-point theory. Zbl 1022.54027
Kirk, W. A.
9
2003
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
The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036
Kirk, W. A.; Sternfeld, Y.
9
1984
Local contractions in metric spaces. Zbl 0388.54031
Hu, Thakyin; Kirk, W. A.
9
1978
A fixed point theorem revisited. Zbl 0883.47071
Kirk, W. A.; Kang, B. G.
8
1997
Continuous mappings in compact hyperconvex metric spaces. Zbl 0917.54015
Kirk, W. A.
8
1996
Fixed-point theorems for mappings defined on unbounded sets in Banach spaces. Zbl 0412.47033
Kirk, W. A.; Ray, William O.
8
1979
Caristi’s fixed point theorem and the theory of normal solvability. Zbl 0377.47042
Kirk, W. A.
8
1976
The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034
Kirk, W. A.
7
1996
Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces. Zbl 0485.47040
Bruck, R. E.; Kirk, W. A.; Reich, S.
7
1982
On the approximation of fixed points of locally nonexpansive mappings. Zbl 0475.47041
Kirk, W. A.; Morales, Claudio
7
1981
Mapping theorems for local expansions in metric and Banach spaces. Zbl 0415.54008
Kirk, W. A.; Schöneberg, R.
7
1979
Some fixed point theorems in metric and Banach spaces. Zbl 0195.42901
Belluce, L. P.; Kirk, W. A.
7
1969
Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036
Kaewcharoen, A.; Kirk, W. A.
6
2006
Fixed points and approximate fixed points in product spaces. Zbl 0984.54045
Espínola, R.; Kirk, W. A.
6
2001
Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044
Kirk, William A.; Sims, Brailey
6
1999
Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035
Kirk, William A.
6
1997
Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions. Zbl 0322.47036
Kirk, W. A.
6
1975
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 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
5
2014
Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058
Kirk, William A.; Shahzad, Naseer
5
2013
Metric fixed point theory: old problems and new directions. Zbl 1216.47085
Kirk, W. A.
5
2010
Nonexpansive mappings: Boundary/inwardness conditions and local theory. Zbl 1022.47034
Kirk, W. A.; Morales, C. H.
5
2001
Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032
Kirk, W. A.; Martinez-Yanez, Carlos
5
1990
Fixed point theorems for local strong pseudo-contractions. Zbl 0434.47046
Kirk, W. A.; Morales, Claudio
5
1980
A remark on directional contractions. Zbl 0367.47031
Kirk, W. A.; Ray, William O.
5
1977
Nonexpansive mappings and the weak closure of sequences of iterates. Zbl 0185.39501
Kirk, W. A.
5
1969
Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045
Kirk, W. A.; Shahzad, Naseer
4
2015
Some problems in metric fixed point theory. Zbl 1166.47053
Goebel, Kazimierz; Kirk, W. A.
4
2008
Normal structure and orbital fixed point conditions. Zbl 1392.54032
Kirk, W. A.; Shahzad, Naseer
2
2018
Fixed points of locally nonexpansive mappings in geodesic spaces. Zbl 1354.54043
Kirk, W. A.; Shahzad, Naseer
1
2017
Continuation methods in certain metric and geodesic spaces. Zbl 1356.54044
Kirk, W. A.; Shahzad, Naseer
2
2016
Contractive conditions in semimetric spaces. Zbl 1366.54015
Kirk, W. A.; Shahzad, Naseer
1
2016
Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045
Kirk, W. A.; Shahzad, Naseer
4
2015
Metric fixed point theory: a brief retrospective. Zbl 1347.54094
Kirk, William A.
2
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
82
2014
Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029
Kirk, William A.; Shahzad, Naseer
5
2014
Locally nonexpansive mappings in geodesic and length spaces. Zbl 1293.53051
Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer
3
2014
Remarks on convex combinations in geodesic spaces. Zbl 1301.53038
Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer
3
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
35
2013
Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058
Kirk, William A.; Shahzad, Naseer
5
2013
Some fixed point results in ultrametric spaces. Zbl 1252.54038
Kirk, W. A.; Shahzad, N.
12
2012
Remarks on approximate fixed points. Zbl 1255.54023
Kirk, W. A.
3
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
One-local retracts and Banach operator pairs in metric spaces. Zbl 1269.54026
Hussain, N.; Khamsi, M. A.; Kirk, W. A.
2
2012
On uniformly Lipschitzian multivalued mappings in Banach and metric spaces. Zbl 1218.47077
Khamsi, M. A.; Kirk, W. A.
13
2010
Metric fixed point theory: old problems and new directions. Zbl 1216.47085
Kirk, W. A.
5
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
3
2009
Approximate fixed points of nonexpansive maps. Zbl 1198.47072
Kirk, W. A.
1
2009
A concept of convergence in geodesic spaces. Zbl 1145.54041
Kirk, W. A.; Panyanak, B.
184
2008
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
66
2008
Some problems in metric fixed point theory. Zbl 1166.47053
Goebel, Kazimierz; Kirk, W. A.
4
2008
Universal nonexpansive maps. Zbl 1185.47056
Kirk, W. A.
1
2008
Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043
Dhompongsa, S.; Kirk, W. A.; Panyanak, B.
85
2007
Some recent results in metric fixed point theory. Zbl 1139.05315
Kirk, W. A.
19
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
134
2006
Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
57
2006
Proximinality in geodesic spaces. Zbl 1141.51011
Kaewcharoen, A.; Kirk, W. A.
17
2006
Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036
Kaewcharoen, A.; Kirk, W. A.
6
2006
Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013
Eldred, A. Anthony; Kirk, W. A.; Veeramani, P.
111
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.
115
2004
Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020
Kirk, W. A.
84
2004
Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032
Kirk, W. A.; Srinivasan, P. S.; Veeramani, P.
199
2003
Proximinal retracts and best proximity pair theorems. Zbl 1054.47040
Kirk, W. A.; Reich, Simeon; Veeramani, P.
133
2003
Geodesic geometry and fixed point theory. Zbl 1058.53061
Kirk, William A.
96
2003
Fixed points of asymptotic contractions. Zbl 1022.47036
Kirk, W. A.
76
2003
Transfinite methods in metric fixed-point theory. Zbl 1022.54027
Kirk, W. A.
9
2003
Set-valued contractions and fixed points. Zbl 1025.47032
Espínola, R.; Kirk, W. A.
4
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.
1
2002
An introduction to metric spaces and fixed point theory. Zbl 1318.47001
Khamsi, Mohamed A.; Kirk, William A.
181
2001
Handbook of metric fixed point theory. Zbl 0970.54001
Kirk, William A. (ed.); Sims, Brailey (ed.)
135
2001
Contraction mappings and extensions. Zbl 1019.54001
Kirk, W. A.
47
2001
The Brézis-Browder order principle and extensions of Caristi’s theorem. Zbl 1042.54506
Kirk, W. A.; Saliga, Linda Marie
17
2001
Classical theory of nonexpansive mappings. Zbl 1035.47033
Goebel, Kazimierz; Kirk, W. A.
15
2001
Fixed points and approximate fixed points in product spaces. Zbl 0984.54045
Espínola, R.; Kirk, W. A.
6
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
A note on Picard iterates of nonexpansive mappings. Zbl 0973.47040
Kim, Eun Suk; Kirk, W. A.
1
2001
Uniform normal structure and related notions. Zbl 0995.47028
Kirk, W. A.; Sims, Brailey
1
2001
Fixed point and selection theorems in hyperconvex spaces. Zbl 0959.47032
Khamsi, M. A.; Kirk, W. A.; Martinez Yañez, Carlos
28
2000
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
26
2000
Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040
Kirk, W. A.
13
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.
21
1998
Asymptotically nonexpansive mappings. Zbl 0940.47044
Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik
14
1998
Hölder continuity and minimal displacement. Zbl 0896.47041
Kirk, W. A.
4
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.
8
1997
Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035
Kirk, William A.
6
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.
8
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.
3
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
1
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
Nearest and farthest points of closed sets in hyperbolic spaces. Zbl 0753.46014
Kirk, W. A.
2
1991
An application of a generalized Krasnoelskii-Ishikawa iteration process. Zbl 0752.47033
Kirk, W. A.
1
1991
Topics in metric fixed point theory. Zbl 0708.47031
Goebel, Kazimierz; Kirk, W. A.
886
1990
Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053
Kirk, W. A.; Massa, Silvio
31
1990
Approximate fixed points for nonexpansive mappings in uniformly convex spaces. Zbl 0734.47032
Kirk, W. A.; Martinez-Yanez, Carlos
5
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.
1
1988
Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048
Kirk, W. A.
21
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.
95
1983
Fixed point theory for nonexpansive mappings. II. Zbl 0511.47037
Kirk, W. A.
25
1983
Local expansions and accretive mappings. Zbl 0534.47032
Kirk, W. A.
2
1983
Remarks on fixed points and boundaries. Zbl 0506.47040
Kirk, W. A.
2
1983
Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046
Kirk, W. A.
53
1982
Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces. Zbl 0485.47040
Bruck, R. E.; Kirk, W. A.; Reich, S.
7
1982
Nonexpansive mappings and normal structure in Banach spaces. Zbl 0505.47045
Kirk, W. A.
2
1982
...and 55 more Documents
all top 5

Cited by 2,182 Authors

81 Shahzad, Naseer
80 Kumam, Poom
66 Khamsi, Mohamed Amine
65 Ceng, Lu-Chuan
64 Yao, Jen-Chih
62 Karapınar, Erdal
58 Kirk, William Arthur
55 Chang, Shih-Sen
50 Reich, Simeon
43 Suzuki, Tomonari
42 Cho, Yeol Je
42 Xu, Hong-Kun
41 Chidume, Charles Ejike
41 Gabeleh, Moosa
41 Hussain, Nawab
38 Kang, Shin Min
35 Suantai, Suthep
35 Takahashi, Wataru
33 Panyanak, Bancha
31 Saejung, Satit
30 Abbas, Mujahid
29 Qin, Xiaolong
28 Llorens-Fuster, Enrique
28 Petruşel, Adrian
28 Wen, Chingfeng
27 de la Sen, Manuel
27 Radenovic, Stojan
26 Samet, Bessem
25 Yao, Yonghong
24 Latif, Abdul
23 Dhompongsa, Sompong
23 Su, Yongfu
22 Basha, S. Sadiq
22 Cui, Yunan
22 Espínola García, Rafael
22 Fukhar-Ud-Din, Hafiz
22 Vetro, Calogero
22 Zegeye, Habtu
21 Agarwal, Ravi P.
21 Amini-Harandi, Alireza
21 Liou, Yeongcheng
21 Postolache, Mihai
20 Jung, Jong Soo
20 Khan, Abdul Rahim
20 Kim, Jong Kyu
20 Marino, Giuseppe
20 Wang, Lin
18 Aydi, Hassen
18 Kuczumow, Tadeusz
18 Sintunavarat, Wutiphol
17 Bauschke, Heinz H.
17 Domínguez Benavides, T.
17 Hudzik, Henryk
17 Imdad, Mohammad
17 Wangkeeree, Rabian
17 Zaslavski, Alexander Yakovlevich
16 Abkar, Ali
16 Alfuraidan, Monther Rashed
16 Kaewkhao, Attapol
16 Khan, Safeer Hussain
16 Kohlenbach, Ulrich Wilhelm
16 Morales, Claudio H.
16 Sahu, Daya Ram
15 Chan, Chi Kin
15 Garcia-Falset, Jesús
15 Jleli, Mohamed
15 Kozłowski, Wojciech M.
15 Phuengrattana, Withun
15 Włodarczyk, Kazimierz
14 Ansari, Qamrul Hasan
14 Beg, Ismat
14 Cholamjiak, Prasit
14 Choudhury, Binayak Samadder
14 Du, Wei-Shih
14 Japón Pineda, María Ángeles
14 López Acedo, Genaro
14 Nicolae, Adriana
14 Plebaniak, Robert
14 Veeramani, P.
13 Alghamdi, Maryam A.
13 Chen, Chi-Ming
13 Cho, Sun Young
13 Iiduka, Hideaki
13 Kadelburg, Zoran
13 Lau, Anthony To-Ming
13 Markin, Jack T.
13 Nashine, Hemant Kumar
13 Plubtieng, Somyot
13 Wiśnicki, Andrzej
13 Wong, Ngai-Ching
12 Ali, Bashir
12 Chen, Rudong
12 Cholamjiak, Watcharaporn
12 Djafari Rouhani, Behzad
12 Fakhar, Majid
12 He, Songnian
12 O’Regan, Donal
12 Pang, Chin-Tzong
12 Petryshyn, Walter Wolodymyr
12 Saeidi, Shahram
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Cited in 300 Serials

472 Fixed Point Theory and Applications
275 Journal of Mathematical Analysis and Applications
256 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
170 Abstract and Applied Analysis
107 Proceedings of the American Mathematical Society
98 Journal of Fixed Point Theory and Applications
92 Journal of Inequalities and Applications
86 Nonlinear Analysis. Theory, Methods & Applications
66 Applied Mathematics and Computation
54 Journal of Applied Mathematics
53 Bulletin of the Australian Mathematical Society
48 Journal of Nonlinear Science and Applications
47 Numerical Functional Analysis and Optimization
45 Computers & Mathematics with Applications
37 Journal of Optimization Theory and Applications
35 Journal of Function Spaces
30 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
29 Journal of Computational and Applied Mathematics
29 Topology and its Applications
29 Applied Mathematics Letters
23 International Journal of Mathematics and Mathematical Sciences
22 Transactions of the American Mathematical Society
21 Mathematical and Computer Modelling
20 Journal of Global Optimization
19 Optimization Letters
18 Journal of Functional Analysis
18 Rendiconti del Circolo Matemàtico di Palermo. Serie II
17 Demonstratio Mathematica
17 Afrika Matematika
14 Israel Journal of Mathematics
14 Arabian Journal of Mathematics
14 Journal of Mathematics
13 Fuzzy Sets and Systems
13 Numerical Algorithms
13 Nonlinear Analysis. Hybrid Systems
13 Applied General Topology
12 Applied Mathematics and Mechanics. (English Edition)
12 Optimization
12 Vietnam Journal of Mathematics
12 Mediterranean Journal of Mathematics
11 Acta Mathematica Sinica. English Series
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Journal of Applied Mathematics and Computing
11 Bulletin of the American Mathematical Society
11 Asian-European Journal of Mathematics
11 Symmetry
10 Journal of Approximation Theory
10 Journal of the Egyptian Mathematical Society
10 Nonlinear Analysis. Modelling and Control
9 Thai Journal of Mathematics
9 Set-Valued and Variational Analysis
9 Journal of Nonlinear Analysis and Optimization: Theory & Applications
9 Mathematical Sciences
9 International Journal of Analysis
9 Journal of Linear and Topological Algebra
8 Rocky Mountain Journal of Mathematics
8 Chaos, Solitons and Fractals
8 Advances in Mathematics
8 Mathematische Nachrichten
8 Results in Mathematics
8 Computational and Applied Mathematics
8 Discrete Dynamics in Nature and Society
7 Kodai Mathematical Journal
7 Quaestiones Mathematicae
7 Central European Journal of Mathematics
7 Sahand Communications in Mathematical Analysis
6 Zeitschrift für Analysis und ihre Anwendungen
6 Mathematical Programming. Series A. Series B
6 The Journal of Analysis
6 Journal of the Australian Mathematical Society
6 Banach Journal of Mathematical Analysis
6 Journal of Mathematics and Computer Science. JMCS
6 ISRN Mathematical Analysis
5 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
5 Czechoslovak Mathematical Journal
5 Journal of Soviet Mathematics
5 Acta Applicandae Mathematicae
5 Applied Mathematics. Series B (English Edition)
5 Arab Journal of Mathematical Sciences
5 Nonlinear Functional Analysis and Applications
5 Journal of Function Spaces and Applications
5 Functional Analysis, Approximation and Computation
5 Axioms
5 Mathematics
5 Open Mathematics
5 Korean Journal of Mathematics
4 Archiv der Mathematik
4 Glasgow Mathematical Journal
4 Journal of Differential Equations
4 Mathematica Slovaca
4 Rendiconti del Seminario Matemàtico e Fisico di Milano
4 Theoretical Computer Science
4 Indagationes Mathematicae. New Series
4 Topological Methods in Nonlinear Analysis
4 Georgian Mathematical Journal
4 Journal of Convex Analysis
4 Mathematical Problems in Engineering
4 Communications of the Korean Mathematical Society
4 Journal of Dynamical Systems and Geometric Theories
4 Fixed Point Theory
...and 200 more Serials
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Cited in 52 Fields

2,324 Operator theory (47-XX)
1,096 General topology (54-XX)
454 Functional analysis (46-XX)
285 Calculus of variations and optimal control; optimization (49-XX)
278 Numerical analysis (65-XX)
212 Operations research, mathematical programming (90-XX)
91 Approximations and expansions (41-XX)
55 Ordinary differential equations (34-XX)
45 Dynamical systems and ergodic theory (37-XX)
35 Differential geometry (53-XX)
34 Integral equations (45-XX)
32 Convex and discrete geometry (52-XX)
30 Global analysis, analysis on manifolds (58-XX)
28 Mathematical logic and foundations (03-XX)
27 Combinatorics (05-XX)
24 Probability theory and stochastic processes (60-XX)
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21 Systems theory; control (93-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
19 Abstract harmonic analysis (43-XX)
19 Computer science (68-XX)
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18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 Number theory (11-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

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