Equivalent extensions to Caristi-Kirk's fixed point theorem, Ekeland's variational principle, and Takahashi's minimization theorem

DOI10.1155/2010/970579zbMath1202.54046OpenAlexW2084917603WikidataQ59248516 ScholiaQ59248516MaRDI QIDQ963636

Z. L. Wu

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227053

Mathematics Subject Classification ID

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

Related Items (1)

Some variational results using generalizations of sequential lower semicontinuity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces
• Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
• On Ekeland's variational principle and a minimax theorem
• Fixed point theorems for weakly contractive multivalued maps.
• Equivalent formulations of Ekeland's variational principle
• Generalized Caristi's fixed point theorems by Bae and others
• On the variational principle
• Techniques of variational analysis
• Error Bounds for Lower Semicontinuous Functions in Normed Spaces
• The drop theorem, the petal theorem and Ekeland's variational principle
• Nonconvex minimization problems
• Fixed Points and Stationary Points of Dissipative Multivalued Maps
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Generalized distance and existence theorems in complete metric spaces

This page was built for publication: Equivalent extensions to Caristi-Kirk's fixed point theorem, Ekeland's variational principle, and Takahashi's minimization theorem