An extension of Ekeland's variational principle in fuzzy metric space and its applications

DOI10.1016/S0165-0114(97)00333-3zbMath0946.49017OpenAlexW1980366514WikidataQ127720197 ScholiaQ127720197MaRDI QIDQ1965324

Jiang Zhu, Ge-Ping Wang, Cheng-Kui Zhong

Publication date: 18 October 2000

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00333-3

zbMATH Keywords

set-valued mappingsfuzzy metric spaceEkeland's variational principleprobabilistic metric spacesCaristi's coincidence theorem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fuzzy topology (54A40) Optimality conditions for problems in abstract spaces (49K27)

Related Items (9)

On the level convergence of a sequence of fuzzy numbers ⋮ Fixed point theorems for complex non-self mappings satisfying an implicit relation in Kaleva-Seikkala's type fuzzy metric spaces ⋮ Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces ⋮ Set-valued pseudo-metric families and Ekeland's variational principles in fuzzy metric spaces ⋮ Fixed point theorems for nonlinear contractions in Kaleva-Seikkala's type fuzzy metric spaces ⋮ Vector-valued variational principle in fuzzy metric space and its applications ⋮ Brezis-Browder Principles and Applications ⋮ Statistical convergence of sequences of fuzzy numbers and sequences of α−cuts ⋮ Set-valued Ekeland variational principles in fuzzy metric spaces

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