Common fixed point and approximation results for noncommuting maps on locally convex spaces

DOI10.1155/2009/207503zbMath1168.47044OpenAlexW2171266703WikidataQ59248820 ScholiaQ59248820MaRDI QIDQ1030592

J. Blot

Publication date: 2 July 2009

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

Full work available at URL: https://eudml.org/doc/55868

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) General theory of locally convex spaces (46A03)

Related Items (9)

Common fixed point and invariant approximation in hyperbolic ordered metric spaces ⋮ Common fixed point and approximation results for generalized \((f, g)\)-weak contractions ⋮ Common fixed point and approximation results for \(\mathcal{H}\)-operator pair with applications ⋮ Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings ⋮ Coupled fixed point results on quasi-Banach spaces with application to a system of integral equations ⋮ Some common fixed point results for modified subcompatible maps and related invariant approximation results ⋮ Common fixed point and invariant approximation results ⋮ Modified \(\alpha\)-\(\psi\)-contractive mappings with applications ⋮ Fixed point results for single and set-valued \(\alpha\)-\(\eta\)-\(\psi\)-contractive mappings

Cites Work

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• Best approximations in locally convex spaces
• Compatible maps and invariant approximations
• Common fixed points for Banach operator pairs with applications
• Best simultaneous approximations, asymptotically nonexpansive mappings and variational inequalities in Banach spaces
• Common fixed points from best simultaneous approximations
• Some results on best approximation in locally convex spaces
• An application of a fixed-point theorem to approximation theory
• Common fixed points of noncommuting mappings
• Common fixed-point results in best approximation theory
• Common fixed points and best approximation
• Common fixed-points for Banach operator pairs in best approximation
• Common fixed points for Banach operator pairs from the set of best approximations
• Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions
• Common fixed point and invariant approximation results in certain metrizable topological vector spaces
• Common fixed point and invariant approximation results for noncommuting generalized \((f,g)\)-nonexpansive maps
• Fixed point theorems for nonexpansive mappings in linear topological spaces
• Fixed points and stability for a sum of two operators in locally convex spaces
• Invarianz bei linearen Approximationen
• Common Fixed Points for Commuting and Compatible Maps on Compacta
• Danes’ Drop Theorem in locally convex spaces
• Some fixed-point theorems on locally convex linear topological spaces
• An Introduction to Metric Spaces and Fixed Point Theory
• Functional analysis and infinite-dimensional geometry

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