The existence of best proximity points for multivalued non-self-mappings
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Publication:380422
DOI10.1007/s13398-012-0074-6zbMath1287.54036OpenAlexW1985946497MaRDI QIDQ380422
Publication date: 14 November 2013
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-012-0074-6
Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)
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Cites Work
- Global optimal solutions of noncyclic mappings in metric spaces
- A best proximity point theorem for weakly contractive non-self-mappings
- Best proximity points for asymptotic cyclic contraction mappings
- Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
- The existence of best proximity points in metric spaces with the property UC
- Erratum to: ``Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces [Nonlinear Anal. (2008), doi: 10.1016/j.na.2008.04.037]
- Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
- Convergence and existence results for best proximity points
- Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
- Generalized cyclic contractions in partially ordered metric spaces
- Fixed point results for generalized cyclic contraction mappings in partial metric spaces
- Best proximity points for cyclic Meir-Keeler contractions
- Extensions of two fixed point theorems of F. E. Browder
- Multi-valued contraction mappings
- A new approach to relatively nonexpansive mappings
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