×

Kirk, William Arthur

Author ID: kirk.william-a Recent zbMATH articles by "Kirk, William Arthur"
Published as: Kirk, W. A.; Kirk, William A.; Kirk, William
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
1,118 Co-Co-Authors
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

Publications by Year

Citations contained in zbMATH Open

161 Publications have been cited 7,102 times in 4,262 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.
563
1965
A fixed point theorem for asymptotically nonexpansive mappings. Zbl 0256.47045
Goebel, K.; Kirk, W. A.
495
1972
Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032
Kirk, W. A.; Srinivasan, P. S.; Veeramani, P.
298
2003
A concept of convergence in geodesic spaces. Zbl 1145.54041
Kirk, W. A.; Panyanak, B.
293
2008
An introduction to metric spaces and fixed point theory. Zbl 1318.47001
Khamsi, Mohamed A.; Kirk, William A.
248
2001
Fixed point theory in distance spaces. Zbl 1308.58001
Kirk, William; Shahzad, Naseer
209
2014
Fixed points of uniformly Lipschitzian mappings. Zbl 1105.47050
Dhompongsa, S.; Kirk, W. A.; Sims, Brailey
208
2006
Handbook of metric fixed point theory. Zbl 0970.54001
193
2001
Proximinal retracts and best proximity pair theorems. Zbl 1054.47040
Kirk, W. A.; Reich, Simeon; Veeramani, P.
174
2003
Proximal normal structure and relatively nonexpansive mappings. Zbl 1078.47013
Eldred, A. Anthony; Kirk, W. A.; Veeramani, P.
156
2005
Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043
Dhompongsa, S.; Kirk, W. A.; Panyanak, B.
145
2007
Geodesic geometry and fixed point theory. Zbl 1058.53061
Kirk, William A.
145
2003
Fixed point theorems for set-valued mappings of contractive type. Zbl 0239.54032
Assad, Nadim A.; Kirk, W. A.
143
1973
Geodesic geometry and fixed point theory. II. Zbl 1083.53061
Kirk, W. A.
140
2004
Iteration processes for nonexpansive mappings. Zbl 0525.47040
Goebel, Kazimierz; Kirk, W. A.
136
1983
Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020
Kirk, W. A.
116
2004
Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type. Zbl 0286.47034
Kirk, W. A.
95
1974
Fixed points of asymptotic contractions. Zbl 1022.47036
Kirk, W. A.
95
2003
Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
88
2006
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
82
2008
Contraction mappings and extensions. Zbl 1019.54001
Kirk, W. A.
74
2001
Caristi’s fixed point theorem and metric convexity. Zbl 0353.53041
Kirk, W. A.
71
1976
Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046
Kirk, W. A.
67
1982
A fixed point theorem for transformations whose iterates have uniform Lipschitz constant. Zbl 0265.47044
Goebel, K.; Kirk, W. A.
60
1973
Generalized metrics and Caristi’s theorem. Zbl 1295.54060
Kirk, William A.; Shahzad, Naseer
59
2013
Geometric fixed point theory and inwardness conditions. Zbl 0315.54052
Caristi, James; Kirk, William A.
55
1975
Fixed-point theorems for families of contraction mappings. Zbl 0149.10701
Belluce, L. P.; Kirk, W. A.
52
1966
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
On successive approximations for nonexpansive mappings in Banach spaces. Zbl 0223.47024
Kirk, W. A.
40
1971
Normal structure in Banach spaces. Zbl 0164.15001
Belluce, L. P.; Kirk, W. A.; Steiner, E. F.
40
1968
Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053
Kirk, W. A.; Massa, Silvio
35
1990
Fixed-point theorems for certain classes of nonexpansive mappings. Zbl 0165.16801
Belluce, L. P.; Kirk, W. A.
33
1969
A generalization of Caristi’s theorem with applications to nonlinear mapping theory. Zbl 0357.47036
Downing, David; Kirk, W. A.
33
1977
Nonexpansive mappings in product spaces, set-valued mappings and k- uniform rotundity. Zbl 0594.47048
Kirk, W. A.
31
1986
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.
25
2012
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
Hyperconvexity of \(\mathbb{R}\)-trees. Zbl 0913.54030
Kirk, W. A.
23
1998
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 in hyperconvex spaces. Zbl 0957.46033
Kirk, W. A.; Shin, Sang Sik
21
1997
Fixed point theorems for Lipschitzian pseudo-contractive mappings. Zbl 0254.47076
Gatica, Juan A.; Kirk, W. A.
21
1972
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
Zeros of m-accretive operators in Banach spaces. Zbl 0435.47055
Kirk, W. A.; Schöneberg, R.
20
1980
Nonexpansive mappings in metric and Banach spaces. Zbl 0519.54029
Kirk, W. A.
19
1981
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
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
Nonexpansive mappings and asymptotic regularity. Zbl 1018.47040
Kirk, W. A.
16
2000
Asymptotically nonexpansive mappings. Zbl 0940.47044
Kirk, W. A.; Yañez, Carlos Martinez; Shin, Sang Sik
15
1998
Local contractions in metric spaces. Zbl 0388.54031
Hu, Thakyin; Kirk, W. A.
15
1978
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
A fixed point theorem for local pseudo-contractions in uniformly convex spaces. Zbl 0422.47032
Kirk, W. A.
14
1979
Asymptotically nonexpansive semigroups in Banach spaces. Zbl 0411.47035
Kirk, W. A.; Torrejon, Ricardo
14
1979
Some questions in metric fixed point theory. Zbl 0877.47032
Kirk, W. A.
13
1996
Locally nonexpansive mappings in Banach spaces. Zbl 0475.47040
Kirk, W. A.
13
1981
On mappings with diminishing orbital diameters. Zbl 0162.54902
Kirk, W. A.
12
1969
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
Some results on existence and approximation in metric fixed point theory. Zbl 0936.54041
Kirk, W. A.; Saliga, Linda Marie
11
2000
Transfinite methods in metric fixed-point theory. Zbl 1022.54027
Kirk, W. A.
11
2003
Best approximation in \(\mathbb R\)-trees. Zbl 1132.54025
Kirk, W. A.; Panyanak, B.
10
2007
Fixed point theory for nonexpansive mappings. Zbl 0479.47049
Kirk, W. A.
10
1981
Some fixed point theorems in metric and Banach spaces. Zbl 0195.42901
Belluce, L. P.; Kirk, W. A.
10
1969
Fixed points and Cauchy sequences in semimetric spaces. Zbl 1326.54045
Kirk, W. A.; Shahzad, Naseer
10
2015
Nonexpansive mappings defined on unbounded domains. Zbl 1141.47036
Kaewcharoen, A.; Kirk, W. A.
9
2006
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
The fixed point property for nonexpansive mappings in certain product spaces. Zbl 0547.47036
Kirk, W. A.; Sternfeld, Y.
9
1984
Antipodal points and fixed points. Zbl 0842.54040
Jaworowski, Jan; Kirk, William A.; Park, Sehie
9
1995
An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces. Zbl 0691.47043
Kirk, W. A.
9
1989
Fixed points and approximate fixed points in product spaces. Zbl 0984.54045
Espínola, R.; Kirk, W. A.
9
2001
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
Some problems in metric fixed point theory. Zbl 1166.47053
Goebel, Kazimierz; Kirk, W. A.
9
2008
Fixed-point theorems for mappings defined on unbounded sets in Banach spaces. Zbl 0412.47033
Kirk, W. A.; Ray, William O.
9
1979
The fixed point property and mappings which are eventually nonexpansive. Zbl 0861.47034
Kirk, W. A.
8
1996
Caristi’s fixed point theorem and the theory of normal solvability. Zbl 0377.47042
Kirk, W. A.
8
1976
Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions. Zbl 0322.47036
Kirk, W. A.
7
1975
Remarks on approximation and approximate fixed points in metric fixed point theory. Zbl 1012.47035
Kirk, William A.
7
1997
Remarks on metric transforms and fixed-point theorems. Zbl 1423.54058
Kirk, William A.; Shahzad, Naseer
7
2013
Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029
Kirk, William A.; Shahzad, Naseer
7
2014
Normal structure and orbital fixed point conditions. Zbl 1392.54032
Kirk, W. A.; Shahzad, Naseer
7
2018
Convergence of Picard iterates of nonexpansive mappings. Zbl 0977.47044
Kirk, William A.; Sims, Brailey
6
1999
Remarks on convex combinations in geodesic spaces. Zbl 1301.53038
Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer
6
2014
Fixed point theorems for nonlinear nonexpansive and generalized contraction mappings. Zbl 0195.42702
Kirk, W. A.
6
1971
A fixed point theorem for k-set-contractions defined in a cone. Zbl 0256.47046
Gatica, Juan A.; Kirk, W. A.
6
1974
Local expansions and accretive mappings. Zbl 0534.47032
Kirk, W. A.
6
1983
On the approximation of fixed points of locally nonexpansive mappings. Zbl 0475.47041
Kirk, W. A.; Morales, Claudio
6
1981
Remarks on approximate fixed points. Zbl 1255.54023
Kirk, W. A.
6
2012
Metric fixed point theory: old problems and new directions. Zbl 1216.47085
Kirk, W. A.
6
2010
Orbital fixed point conditions in geodesic spaces. Zbl 1461.54091
Kirk, W. A.; Shahzad, Naseer
2
2020
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
7
2018
Remarks on nonexpansive mappings and related asymptotic conditions. Zbl 1477.47042
Kirk, W. A.
2
2017
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
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
10
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
209
2014
Erratum to: “Generalized metrics and Caristi’s theorem”. Zbl 1421.54029
Kirk, William A.; Shahzad, Naseer
7
2014
Remarks on convex combinations in geodesic spaces. Zbl 1301.53038
Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer
6
2014
Locally nonexpansive mappings in geodesic and length spaces. Zbl 1293.53051
Alghamdi, Maryam A.; Kirk, W. A.; Shahzad, Naseer
5
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
59
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.
25
2012
Remarks on approximate fixed points. Zbl 1255.54023
Kirk, W. A.
6
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.
293
2008
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
82
2008
Some problems in metric fixed point theory. Zbl 1166.47053
Goebel, Kazimierz; Kirk, W. A.
9
2008
Universal nonexpansive maps. Zbl 1185.47056
Kirk, W. A.
3
2008
Nonexpansive set-valued mappings in metric and Banach spaces. Zbl 1120.47043
Dhompongsa, S.; Kirk, W. A.; Panyanak, B.
145
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
208
2006
Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
88
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.
156
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.
140
2004
Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees. Zbl 1089.54020
Kirk, W. A.
116
2004
Fixed points for mappings satisfying cyclical contractive conditions. Zbl 1052.54032
Kirk, W. A.; Srinivasan, P. S.; Veeramani, P.
298
2003
Proximinal retracts and best proximity pair theorems. Zbl 1054.47040
Kirk, W. A.; Reich, Simeon; Veeramani, P.
174
2003
Geodesic geometry and fixed point theory. Zbl 1058.53061
Kirk, William A.
145
2003
Fixed points of asymptotic contractions. Zbl 1022.47036
Kirk, W. A.
95
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.
248
2001
Handbook of metric fixed point theory. Zbl 0970.54001
193
2001
Contraction mappings and extensions. Zbl 1019.54001
Kirk, W. A.
74
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.
9
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
11
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.
13
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.
8
1996
Constructive aspects of fixed point theory for nonexpansive mappings. Zbl 0844.47031
Büber, Tekamül; Kirk, W. A.
4
1996
Antipodal points and fixed points. Zbl 0842.54040
Jaworowski, Jan; Kirk, William A.; Park, Sehie
9
1995
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
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.
1990
Remarks on asymptotic and Chebyshev centers. Zbl 0729.47053
Kirk, W. A.; Massa, Silvio
35
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.
31
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.
136
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
...and 61 more Documents
all top 5

Cited by 2,869 Authors

114 Kumam, Poom
88 Shahzad, Naseer
83 Yao, Jen-Chih
81 Ceng, Lu-Chuan
78 Karapınar, Erdal
76 Reich, Simeon
73 Khamsi, Mohamed Amine
65 Chang, Shih-Sen
59 Kirk, William Arthur
57 Gabeleh, Moosa
52 Xu, Hong-Kun
48 Cho, Yeol Je
48 Hussain, Nawab
46 Suzuki, Tomonari
44 Radenovic, Stojan
42 Abbas, Mujahid
42 Chidume, Charles Ejike
42 de la Sen, Manuel
42 Kang, Shin Min
39 Suantai, Suthep
39 Yao, Yonghong
38 Panyanak, Bancha
38 Wen, Chingfeng
36 Petruşel, Adrian
35 Takahashi, Wataru
34 Aydi, Hassen Mohamed
33 Khan, Abdul Rahim
33 Mewomo, Oluwatosin Temitope
32 Saejung, Satit
32 Zaslavski, Alexander Yakovlevich
31 Llorens-Fuster, Enrique
30 Qin, Xiaolong
30 Ullah, Kifayat
29 Liou, Yeongcheng
29 Postolache, Mihai
29 Wang, Lin
28 Espínola García, Rafael
28 Trương Minh Tuyên
26 Ahmad, Junaid
26 Arshad, Muhammad
26 Samet, Bessem
26 Zegeye, Habtu
25 Cui, Yunan
25 Izuchukwu, Chinedu
25 Latif, Abdul
24 Agarwal, Ravi P.
24 Basha, S. Sadiq
24 Choudhury, Binayak Samadder
24 Sahu, Daya Ram
24 Su, Yongfu
24 Ugwunnadi, Godwin Chidi
23 Amini-Harandi, Alireza
23 Dhompongsa, Sompong
23 Kim, Jong Kyu
23 Shukla, Rahul
23 Uddin, Izhar
22 Chen, Rudong
22 Fukhar-Ud-Din, Hafiz
22 Imdad, Mohammad
22 Marino, Giuseppe
22 Vetro, Calogero
21 Ansari, Qamrul Hasan
21 Balooee, Javad
21 Garcia-Falset, Jesús
21 Jung, Jong Soo
21 Rakočević, Vladimir
21 Sintunavarat, Wutiphol
20 Alfuraidan, Monther Rashed
20 Cholamjiak, Watcharaporn
20 Kuczumow, Tadeusz
20 Wangkeeree, Rabian
19 Bauschke, Heinz H.
19 Cholamjiak, Prasit
19 Japón Pineda, María Ángeles
19 Khan, Safeer Hussain
19 Kozłowski, Wojciech M.
18 He, Songnian
18 Hudzik, Henryk
18 Iiduka, Hideaki
18 Kohlenbach, Ulrich Wilhelm
18 Pang, Chin-Tzong
17 Abkar, Ali
17 Nashine, Hemant Kumar
17 Phuengrattana, Withun
17 Rus, Ioan A.
17 Shehu, Yekini
17 Wiśnicki, Andrzej
16 Beg, Ismat
16 Dong, Qiaoli
16 Du, Wei-Shih
16 Kaewkhao, Attapol
16 Morales, Claudio H.
16 Saluja, Gurucharan Singh
16 Veeramani, P.
16 Włodarczyk, Kazimierz
16 Wong, Ngai-Ching
15 Abdou, Afrah Ahmad Noan
15 Alghamdi, Maryam A.
15 Aremu, Kazeem Olalekan
15 Chan, Chi Kin
...and 2,769 more Authors
all top 5

Cited in 387 Serials

510 Fixed Point Theory and Applications
289 Journal of Mathematical Analysis and Applications
264 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
187 Abstract and Applied Analysis
144 Journal of Inequalities and Applications
137 Journal of Fixed Point Theory and Applications
110 Proceedings of the American Mathematical Society
87 Nonlinear Analysis. Theory, Methods & Applications
71 Applied Mathematics and Computation
69 Numerical Functional Analysis and Optimization
67 Journal of Function Spaces
61 Thai Journal of Mathematics
59 Journal of Applied Mathematics
54 Bulletin of the Australian Mathematical Society
52 Filomat
50 Optimization
50 Journal of Nonlinear Science and Applications
45 Computers & Mathematics with Applications
42 Rendiconti del Circolo Matemàtico di Palermo. Serie II
40 Journal of Optimization Theory and Applications
40 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
33 Journal of Computational and Applied Mathematics
32 Fixed Point Theory
31 The Journal of Analysis
30 Topology and its Applications
29 Demonstratio Mathematica
29 Applied Mathematics Letters
28 Afrika Matematika
27 Numerical Algorithms
26 Topological Methods in Nonlinear Analysis
25 Nonlinear Functional Analysis and Applications
24 International Journal of Mathematics and Mathematical Sciences
24 Optimization Letters
24 Asian-European Journal of Mathematics
23 Journal of Global Optimization
23 Journal of Mathematics
22 Transactions of the American Mathematical Society
22 Mathematical and Computer Modelling
21 Applied General Topology
21 Arabian Journal of Mathematics
19 Computational and Applied Mathematics
19 Sahand Communications in Mathematical Analysis
18 Journal of Functional Analysis
18 Journal of Applied Mathematics and Computing
17 Nonlinear Analysis. Modelling and Control
17 Advances in Difference Equations
16 Vietnam Journal of Mathematics
16 Mediterranean Journal of Mathematics
16 AIMS Mathematics
16 Fixed Point Theory and Algorithms for Sciences and Engineering
15 Israel Journal of Mathematics
15 Chaos, Solitons and Fractals
15 Journal of Nonlinear Analysis and Optimization: Theory & Applications
15 Mathematical Sciences
15 Open Mathematics
14 Fuzzy Sets and Systems
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
13 Nonlinear Analysis. Hybrid Systems
13 Journal of Linear and Topological Algebra
12 Mathematical Methods in the Applied Sciences
12 Results in Mathematics
12 Applied Mathematics and Mechanics. (English Edition)
12 Acta Mathematica Sinica. English Series
12 JP Journal of Fixed Point Theory and Applications
11 Mathematische Nachrichten
11 Journal of the Egyptian Mathematical Society
11 Discrete Dynamics in Nature and Society
11 Bulletin of the American Mathematical Society
11 Set-Valued and Variational Analysis
11 Symmetry
11 Korean Journal of Mathematics
10 Rocky Mountain Journal of Mathematics
10 Advances in Mathematics
10 Journal of Approximation Theory
10 Boletim da Sociedade Paranaense de Matemática. Terceira Série
10 Annals of Functional Analysis
10 Journal of Mathematical Extension
9 Mathematica Slovaca
9 Arab Journal of Mathematical Sciences
9 International Journal of Analysis
8 Quaestiones Mathematicae
8 Journal of the Australian Mathematical Society
8 Central European Journal of Mathematics
8 Carpathian Mathematical Publications
8 Mathematics
8 Topological Algebra and its Applications
7 Kodai Mathematical Journal
7 Matematički Vesnik
7 Zeitschrift für Analysis und ihre Anwendungen
7 Journal of the Nigerian Mathematical Society
7 International Journal of Computer Mathematics
7 Journal of Mathematical Sciences (New York)
7 Journal of Convex Analysis
7 South East Asian Journal of Mathematics and Mathematical Sciences
7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
7 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
7 Acta Universitatis Sapientiae. Mathematica
7 Functional Analysis, Approximation and Computation
7 Journal of Nonlinear and Variational Analysis
6 Acta Applicandae Mathematicae
...and 287 more Serials
all top 5

Cited in 54 Fields

3,029 Operator theory (47-XX)
1,708 General topology (54-XX)
544 Functional analysis (46-XX)
407 Calculus of variations and optimal control; optimization (49-XX)
403 Numerical analysis (65-XX)
293 Operations research, mathematical programming (90-XX)
111 Approximations and expansions (41-XX)
88 Integral equations (45-XX)
78 Ordinary differential equations (34-XX)
65 Dynamical systems and ergodic theory (37-XX)
46 Convex and discrete geometry (52-XX)
44 Real functions (26-XX)
43 Differential geometry (53-XX)
40 Global analysis, analysis on manifolds (58-XX)
38 Mathematical logic and foundations (03-XX)
32 Combinatorics (05-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Order, lattices, ordered algebraic structures (06-XX)
28 Partial differential equations (35-XX)
26 Measure and integration (28-XX)
25 Probability theory and stochastic processes (60-XX)
24 Computer science (68-XX)
23 Abstract harmonic analysis (43-XX)
21 Algebraic topology (55-XX)
17 Difference and functional equations (39-XX)
16 Systems theory; control (93-XX)
14 Several complex variables and analytic spaces (32-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Geometry (51-XX)
10 Biology and other natural sciences (92-XX)
9 Group theory and generalizations (20-XX)
8 Functions of a complex variable (30-XX)
7 Topological groups, Lie groups (22-XX)
6 Sequences, series, summability (40-XX)
6 Mechanics of deformable solids (74-XX)
5 General and overarching topics; collections (00-XX)
5 Manifolds and cell complexes (57-XX)
5 Statistics (62-XX)
5 Fluid mechanics (76-XX)
5 Information and communication theory, circuits (94-XX)
4 History and biography (01-XX)
4 Mechanics of particles and systems (70-XX)
3 Number theory (11-XX)
3 Category theory; homological algebra (18-XX)
3 Quantum theory (81-XX)
2 Associative rings and algebras (16-XX)
2 Special functions (33-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-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

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