Some generalizations of Caristi's fixed point theorem with applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem

DOI10.1016/j.na.2010.02.045zbMath1222.47081OpenAlexW1976174877MaRDI QIDQ972419

Alireza Amini-Harandi

Publication date: 25 May 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.02.045

zbMATH Keywords

partially ordered setCaristi's fixed point theoremminimal elementTakahashi minimisation theoremweakly contractive set-valued map

Mathematics Subject Classification ID

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

Related Items (6)

Some applications of Caristi's fixed point theorem in metric spaces ⋮ On Ha's version of set-valued Ekeland's variational principle ⋮ Common fixed point properties for a family of set-valued mappings ⋮ Fixed point theorems in partially ordered complete metric spaces ⋮ \(\theta\)-metric space: a generalization ⋮ Sequentially lower complete spaces and Ekeland's variational principle

Cites Work

• A generalized Ekeland vector variational principle and its applications in optimization
• Remarks on Caristi's fixed point theorem
• Some theorems on weakly contractive maps.
• Ekeland's variational principle in Fréchet spaces and the density of extremal points
• Unnamed Item

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