Common fixed points of nonexpansive mappings with applications to best and best simultaneous approximation

DOI10.1515/JAA-2012-0002zbMath1276.41017OpenAlexW2029974940MaRDI QIDQ2865592

Tulsi Dass Narang, Sumit Chandok

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2012-0002

zbMATH Keywords

fixed pointbest approximationnonexpansivebest simultaneous approximationstarshaped setasymptotically nonexpansive and uniformly asymptotically regular mapsdemicompact set

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Simultaneous approximation (41A28)

Related Items (3)

Best proximity point theorems for reckoning optimal approximate solutions ⋮ Invariant points and \(\varepsilon\)-simultaneous approximation ⋮ Best approximation and fixed points for rational-type contraction mappings

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