Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces

Shih-sen Chang; Yeol Je Cho; Jong Kyu Kim

doi:10.1007/bf02093505

Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces

Periodica Mathematica Hungarica ◽

10.1007/bf02093505 ◽

1996 ◽

Vol 33 (2) ◽

pp. 83-92 ◽

Cited By ~ 3

Author(s):

Shih-sen Chang ◽

Yeol Je Cho ◽

Jong Kyu Kim

Keyword(s):

Variational Principle ◽

Metric Spaces ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle ◽

Probabilistic Metric Spaces ◽

Coincidence Theorem ◽

Set Valued Mappings ◽

Probabilistic Metric ◽

Caristi's Coincidence Theorem

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Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces

Applied Mathematics and Mechanics ◽

10.1007/bf02455381 ◽

1993 ◽

Vol 14 (7) ◽

pp. 607-614 ◽

Cited By ~ 1

Author(s):

Zhang Shi-sheng

Keyword(s):

Variational Principle ◽

Metric Spaces ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle ◽

Probabilistic Metric Spaces ◽

Coincidence Theorem ◽

Set Valued Mappings ◽

Probabilistic Metric ◽

Caristi's Coincidence Theorem

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Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces

Fuzzy Sets and Systems ◽

10.1016/0165-0114(95)00084-4 ◽

1996 ◽

Vol 79 (2) ◽

pp. 239-250 ◽

Cited By ~ 19

Author(s):

Jong Soo Jung ◽

Yeol Je Cho ◽

Shin Min Kang ◽

Shih-sen Chang

Keyword(s):

Variational Principle ◽

Metric Spaces ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle ◽

Fuzzy Metric Spaces ◽

Fuzzy Metric ◽

Coincidence Theorems ◽

Set Valued Mappings

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An Ekeland’s variational principle for set-valued mappings with applications

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.12.014 ◽

2009 ◽

Vol 230 (2) ◽

pp. 477-484 ◽

Cited By ~ 11

Author(s):

J. Zeng ◽

S.J. Li

Keyword(s):

Variational Principle ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle ◽

Set Valued Mappings

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On the weak form of Ekeland's Variational Principle in quasi-metric spaces

Topology and its Applications ◽

10.1016/j.topol.2015.01.011 ◽

2015 ◽

Vol 184 ◽

pp. 54-60 ◽

Cited By ~ 8

Author(s):

Erdal Karapınar ◽

Salvador Romaguera

Keyword(s):

Variational Principle ◽

Metric Spaces ◽

Weak Form ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle

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Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces

Topology and its Applications ◽

10.1016/j.topol.2021.107801 ◽

2021 ◽

pp. 107801

Author(s):

Jian Rong Wu ◽

Xiao Tang

Keyword(s):

Fixed Point ◽

Variational Principle ◽

Fixed Point Theorem ◽

Point Theorem ◽

Metric Spaces ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle ◽

Caristi’S Fixed Point Theorem ◽

Caristi's Fixed Point Theorem

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On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings

Journal of Global Optimization ◽

10.1007/s10898-010-9565-1 ◽

2010 ◽

Vol 49 (3) ◽

pp. 381-396 ◽

Cited By ~ 26

Author(s):

P. Q. Khanh ◽

D. N. Quy

Keyword(s):

Variational Principle ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle ◽

Set Valued Mappings

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Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric space

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02005971 ◽

1991 ◽

Vol 7 (3) ◽

pp. 217-228 ◽

Cited By ~ 6

Author(s):

Shisheng Zhang ◽

Yuqing Chen ◽

Jinli Guo

Keyword(s):

Fixed Point ◽

Variational Principle ◽

Fixed Point Theorem ◽

Point Theorem ◽

Metric Space ◽

Ekeland’S Variational Principle ◽

Probabilistic Metric Space ◽

Ekeland's Variational Principle ◽

Caristi’S Fixed Point Theorem ◽

Probabilistic Metric

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On Ekeland's Variational Principle for Set-Valued Mappings

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0358-8 ◽

2007 ◽

Vol 23 (1) ◽

pp. 141-148 ◽

Cited By ~ 3

Author(s):

Sheng-jie Li ◽

Wen-yan Zhang

Keyword(s):

Variational Principle ◽

Ekeland’S Variational Principle ◽

Ekeland's Variational Principle ◽

Set Valued Mappings

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Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.10.005 ◽

2006 ◽

Vol 323 (1) ◽

pp. 360-370 ◽

Cited By ~ 92

Author(s):

Lai-Jiu Lin ◽

Wei-Shih Du

Keyword(s):

Variational Principle ◽

Metric Spaces ◽

Ekeland’S Variational Principle ◽

Minimax Theorems ◽

Ekeland's Variational Principle ◽

Complete Metric Spaces

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On Ekeland’s Variational Principle in Partial Metric Spaces

Applied Mathematics & Information Sciences ◽

10.12785/amis/090131 ◽

2015 ◽

Vol 9 (1) ◽

pp. 257-262 ◽

Cited By ~ 10

Author(s):

Hassen Aydi ◽

Erdal Karapınar ◽

Calogero Vetro

Keyword(s):

Variational Principle ◽

Metric Spaces ◽

Ekeland’S Variational Principle ◽

Partial Metric ◽

Ekeland's Variational Principle ◽

Partial Metric Spaces

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