Common fixed point theorems for generalized \(\mathcal{JH}\)-operator classes and invariant approximations

DOI10.1186/1029-242X-2011-67zbMath1270.47041OpenAlexW2132157571WikidataQ59268439 ScholiaQ59268439MaRDI QIDQ357358

Poom Kumam, Wutiphol Sintunavarat

Publication date: 30 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-67

zbMATH Keywords

common fixed pointinvariant approximationBanach operator pair\(\mathcal{JH}\)-operator pair\(P\)-operator pairgeneralized \(\mathcal{JH}\)-operator pairoccasionally weakly compatible maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (13)

Fixed point theorems for contraction mappings in modular metric spaces ⋮ Some common coupled fixed point results for generalized contraction in complex-valued metric spaces ⋮ Generalized common fixed point theorems in complex valued metric spaces and applications ⋮ Coupled fixed point of generalized contractive mappings on partially ordered \(G\)-metric spaces ⋮ Coupled best proximity point theorem in metric spaces ⋮ Common coupled fixed point theorems for \(w^*\)-compatible mappings without mixed monotone property ⋮ On a JH-operators pair of type (A) with applications to integral equations ⋮ Coupled fixed point theorems for weak contraction mappings under \(F\)-invariant set ⋮ Fixed point results for almost generalized cyclic \((\psi, \varphi)\)-weak contractive type mappings with applications ⋮ A new technique to compute coupled coincidence points ⋮ \(\mathcal{J} \mathcal{H}\)-operator pairs with application to functional equations arising in dynamic programming ⋮ Common fixed point theorem for cyclic generalized multi-valued contraction mappings ⋮ A note on various classes of compatible-type pairs of mappings and common fixed point theorems

Cites Work

• Common fixed points for \(\mathcal P\)-operator pair with applications
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Common fixed points for \(\mathcal {JH}\)-operators and occasionally weakly biased pairs under relaxed conditions
• Coincidence and common fixed points for hybrid strict contractions without the weakly commuting condition
• Compatible maps and invariant approximations
• Common fixed points of compatible mappings
• Generalized \(I\)-nonexpansive selfmaps and invariant approximations
• Common fixed points for Banach operator pairs with applications
• Common fixed points of biased maps of type \((A)\) and applications
• Common fixed points of noncommuting mappings
• Compatible mapping and common fixed points
• Common fixed points and best approximation
• Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type
• Common fixed-points for Banach operator pairs in best approximation
• Generalized \(I\)-contractions and pointwise \(R\)-subweakly commuting maps
• Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions
• Noncommuting selfmaps and invariant approximations
• Common fixed point and invariant approximation results for noncommuting generalized \((f,g)\)-nonexpansive maps
• Commuting Mappings and Fixed Points
• Invariant approximations and \(R\)-subweakly commuting maps

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