Some generalizations of Ekeland’s variational principle with applications to fixed point theory

S Eshghinezhad, M. Fakhar

Type: Article

Publication Date: 2012-11-05

Citations: 3

DOI: https://doi.org/10.1016/j.mcm.2012.10.028

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Mathematical and Computer Modelling - View

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Citing (30)

Action	Title	Year	Authors
+ PDF Chat	Caristi's fixed point theorem and metric convexity	1976	W. A. Kirk
+	NONCONVEX MINIMIZATION THEOREMS AND FIXED POINT THEOREMS IN COMPLETE METRIC SPACES	1996	Osamu Kada Tomonari Suzuki Wataru Takahashi
+ PDF Chat	Contractive mappings, Kannan mappings and metric completeness	1998	Naoki Shioji Tomonari Suzuki Wataru Takahashi
+	On the variational principle	1974	Ivar Ekeland
+	Generalized Distance and Existence Theorems in Complete Metric Spaces	2001	Tomonari Suzuki
+	Remarks on Caristi’s fixed point theorem and Kirk’s problem	2010	Zhilong Li
+	On maximal element theorems, variants of Ekeland’s variational principle and their applications	2006	Lai-Jiu Lin Wei–Shih Du
+	Extension of Caristi’s fixed point theorem to vector valued metric spaces	2010	Ravi P. Agarwal Mohamed A. Khamsi
+	Fixed Points for Directional Multi-Valued k(·)-Contractions	2005	Amos Uderzo
+ PDF Chat	Maximality Principle and General Results of Ekeland and Caristi Types without Lower Semicontinuity Assumptions in Cone Uniform Spaces with Generalized Pseudodistances	2010	Kazimierz Włodarczyk Robert Plebaniak
+	Equivalent formulations of Ekeland's variational principle	2003	Zili Wu
+	Generalized Caristi's fixed point theorems by Bae and others	2004	Tomonari Suzuki
+	Caristi's Fixed Point Theorem and Selections of Set-Valued Contractions	1998	Jacek Jachymski
+	Vectorial Form of Ekeland-Type Variational Principle in Locally Convex Spaces and Its Applications	2010	S Eshghinezhad M. Fakhar
+	On Downing–Kirk's theorem	2003	Tomonari Suzuki
+ PDF Chat	Phelps’ lemma, Danes’ drop theorem and Ekeland’s principle in locally convex spaces	2003	Andreas H. Hamel
+	Fixed point theorems for fuzzy mappings in complete metric spaces	2002	Masato Amemiya Wataru Takahashi
+ PDF Chat	Remarks on Caristi’s fixed point theorem	2008	Mohamed A. Khamsi
+	On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings	2010	Phan Quốc Khánh Đinh Ngọc Quý
+	Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings	2006	Yuqiang Feng Sanyang Liu
+	Vectorial form of Ekeland-type variational principle with applications to vector equilibrium problems and fixed point theory	2007	Qamrul Hasan Ansari
+	A stationary point theorem characterizing metric completeness	2010	Jacek Jachymski
+	A generalized distance and enhanced Ekeland’s variational principle for vector functions	2010	Phan Quốc Khánh Đinh Ngọc Quý
+	Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory	2007	Suliman Al‐Homidan Qamrul Hasan Ansari Jen‐Chih Yao
+ PDF Chat	Equivalents of Ekeland's principle	1993	W. Oettli Michel Théra
+	Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces	2005	Lai-Jiu Lin Wei–Shih Du
+ PDF Chat	ON FIXED POINTS OF GENERALIZED SET-VALUED CONTRACTIONS	2009	Sfya Benahmed D. Azé
+ PDF Chat	Fixed point theorems and characterizations of metric completeness	1996	Tomonari Suzuki Wataru Takahashi
+	Ekeland-Type Variational Principles and Equilibrium Problems	2011	Qamrul Hasan Ansari Lai-Jiu Lin
+	Vector Optimization: Set-valued and Variational Analysis	2005	Guangya Chen Xuexiang Huang Xiaoqi Yang