Generalized \(I\)-contractions and pointwise \(R\)-subweakly commuting maps

DOI10.1007/s10114-007-0935-7zbMath1139.47041OpenAlexW2115713694MaRDI QIDQ2385342

Donal O'Regan, Nawab Hussain

Publication date: 12 October 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0935-7

zbMATH Keywords

common fixed pointinvariant approximationdiminishing orbital diameterspointwise \(R\)-subweakly commuting mapstangential maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (12)

Common fixed point theorems for generalized \(\mathcal{JH}\)-operator classes and invariant approximations ⋮ 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 ⋮ Common fixed points for \(\mathcal P\)-operator pair with applications ⋮ On pointwise R-subweakly commuting maps and best approximations ⋮ Jungck's common fixed point theorem and E.A property ⋮ Common fixed points for Banach operator pairs with applications ⋮ Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions ⋮ Common fixed point and invariant approximation results ⋮ Common Fixed Point and Invariant Approximation Results for Gregus TypeI-Contractions ⋮ Best simultaneous approximations, asymptotically nonexpansive mappings and variational inequalities in Banach spaces ⋮ Subweakly Biased Pairs and Jungck Contractions with Applications

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• Common fixed points and best approximation
• Common fixed points of Lipschitz type mapping pairs
• Common fixed point theorems for compatible self-maps of Hausdorff topological spaces
• Invariant approximations, generalized \(I\)-contractions, and \(R\)-subweakly commuting maps
• Invarianz bei linearen Approximationen
• Common Fixed Point Theorems for Commuting Maps on a Metric Space
• Invariant Approximations for GeneralizedI-Contractions
• Invariant approximations and \(R\)-subweakly commuting maps

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