Some generalizations of fixed point theorems of Caristi type and Mizoguchi-Takahashi type under relaxed conditions
DOI10.1007/S00574-018-0117-5OpenAlexW2895324718WikidataQ129128982 ScholiaQ129128982MaRDI QIDQ2326939
Publication date: 10 October 2019
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-018-0117-5
Caristi's fixed point theoremapproximate fixed point propertyMizoguchi-Takahashi's fixed point theoremessential distance\({{\mathcal{M}}}{{\mathcal{T}}}(\lambda )\)-function\({{\mathcal{M}}}{{\mathcal{T}}}\)-function \(({\mathcal{R}}\)-function)below sequentially lower semicontinuous from aboveuniformly below sequentially lower semicontinuous from above
Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On coincidence point and fixed point theorems for nonlinear multivalued maps
- Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces
- Some equivalent formulations of the generalized Ekeland's variational principle and their applications
- On Caristi-type mappings without lower semicontinuity assumptions
- Maximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistances
- Critical point theorems for nonlinear dynamical systems and their applications
- Some variational results using generalizations of sequential lower semicontinuity
- Some new results and generalizations in metric fixed point theory
- Fixed point theorems for multivalued mappings on complete metric spaces
- Caristi's fixed point theorem and selections of set-valued contractions
- Caristi's fixed point theorem in semimetric spaces
- Generalized Caristi's fixed point theorems by Bae and others
- On Caristi type maps and generalized distances with applications
- On maximal element theorems, variants of Ekeland's variational principle and their applications
- Multi-valued contraction mappings
- Fixed Point Theory in Distance Spaces
- On generalized ordering principles in nonlinear analysis
- Some problems and results in fixed point theory
- Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
- NOTE ON THE RESULTS WITH LOWER SEMI-CONTINUITY
- An Introduction to Metric Spaces and Fixed Point Theory
- Generalized distance and existence theorems in complete metric spaces
- Some simultaneous generalizations of well-known fixed point theorems and their applications to fixed point theory
This page was built for publication: Some generalizations of fixed point theorems of Caristi type and Mizoguchi-Takahashi type under relaxed conditions