Some common fixed point and invariant approximation results for nonexpansive mappings in convex metric space

DOI10.1186/1687-1812-2014-182zbMath1462.54076OpenAlexW2107733323WikidataQ59321035 ScholiaQ59321035MaRDI QIDQ2406141

Anil Kumar, Savita Rathee

Publication date: 26 September 2017

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-182

zbMATH Keywords

best approximationcommon fixed pointcompatible mapssubcompatible mapsEA-property

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Special maps on metric spaces (54E40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New common fixed point theorems and invariant approximation in convex metric spaces
• Remarks on some recent metrical common fixed point theorems
• Common fixed point theorems for occasionally weakly compatible maps
• Some new common fixed point theorems under strict contractive conditions
• Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type
• Compatible maps and invariant approximations
• Generalized \(I\)-nonexpansive selfmaps and invariant approximations
• Banach operator pairs, common fixed-points, invariant approximations, and \(*\)-nonexpansive multimaps
• Fixed points on star-shaped subsets of convex metric spaces
• Fixed point theorems and invariant approximations
• An application of a fixed point theorem to best approximation
• An application of a fixed-point theorem to approximation theory
• An application of fixed point theorems in best approximation theory
• Some common fixed point results for modified subcompatible maps and related invariant approximation results
• Invariant approximation results via common fixed point theorems for generalized weak contraction maps
• Common fixed points for Suzuki-generalized nonexpansive maps
• Compatible mapping and common fixed points
• Iteration processes for nonlinear mappings in convex metric spaces
• Common fixed points and best approximation
• A comparison of various noncommuting conditions in metric fixed point theory and their applications
• Some common fixed-point and invariant approximation results with generalized almost contractions
• Common fixed point and invariant approximation results
• A note on various classes of compatible-type pairs of mappings and common fixed point theorems
• Common fixed-points for Banach operator pairs in best approximation
• Common fixed point and invariant approximation results for noncommuting generalized \((f,g)\)-nonexpansive maps
• Invariant approximations, generalized \(I\)-contractions, and \(R\)-subweakly commuting maps
• Invarianz bei linearen Approximationen
• Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces
• Common fixed points and invariant approximation of R-subweakly commuting maps in convex metric spaces
• A convexity in metric space and nonexpansive mappings. I.
• Commuting Mappings and Fixed Points
• Invariant Approximations for GeneralizedI-Contractions
• Invariant approximations and \(R\)-subweakly commuting maps

This page was built for publication: Some common fixed point and invariant approximation results for nonexpansive mappings in convex metric space