Caristi's fixed point theorem for fuzzy mappings and Ekeland's variational principle

DOI10.1016/0165-0114(94)90014-0zbMath0842.54041OpenAlexW2063751664MaRDI QIDQ1915296

Qun Luo, Shi Sheng Zhang

Publication date: 4 August 1996

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

Full work available at URL: https://doi.org/10.1016/0165-0114(94)90014-0

zbMATH Keywords

Ekeland's variational principleCaristi's fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fuzzy topology (54A40)

Related Items (6)

Fixed point theorems for fuzzy mappings in complete metric spaces ⋮ Caristi type hybrid fixed point theorems in Menger probabilistic metric space ⋮ The existence of cone critical point and common fixed point with applications ⋮ Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces ⋮ Critical point theorems for nonlinear dynamical systems and their applications ⋮ Generalization of shadows and fixed point theorems for fuzzy sets

Cites Work

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• Fixed degree for fuzzy mappings and a generalization of Ky Fan's theorem
• On the variational principle
• A Characterization of Complete Metric Spaces
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Caristi's fixed point theorem and metric convexity

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