Best and coupled best approximation theorems in abstract convex metric spaces

DOI10.1016/j.na.2010.09.045zbMath1204.54026OpenAlexW1988257398MaRDI QIDQ611199

Alireza Amini-Harandi

Publication date: 14 December 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.2010.09.045

zbMATH Keywords

normed spacebest approximationKKM propertycoupled coincidence pointhyperconvex metric spaceabstract convex metric spacecoupled best approximation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices, The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces, Generalized scalar equilibrium problem with applications to best and coupled best approximations, Best proximity point theorems for reckoning optimal approximate solutions, On a coupled fixed point problem in topological vector spaces, Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces

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