Common fixed points for \(\mathcal P\)-operator pair with applications
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Publication:613238
DOI10.1016/j.amc.2010.08.046zbMath1296.47047OpenAlexW2023906161MaRDI QIDQ613238
Nawab Hussain, Hemant Kumar Pathak
Publication date: 20 December 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.046
common fixed pointinvariant approximationBanach operator pairoccasionally weakly compatible maps\(\mathcal P\)-operator pairgeneralized \(I\)-contraction
Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
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Cites Work
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- Compatible maps and invariant approximations
- \(C_{q}\)-commuting maps and invariant approximations
- Generalized \(I\)-nonexpansive selfmaps and invariant approximations
- Common fixed points for Banach operator pairs with applications
- Fixed point theorems and invariant approximations
- A note on fixed-point theorems
- An application of a fixed point theorem to best approximation
- An application of a fixed-point theorem to approximation theory
- Common fixed points of noncommuting mappings
- Fixed points for set valued functions without continuity
- Common fixed-point results in best approximation theory
- Common fixed points and best approximation
- 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
- Invarianz bei linearen Approximationen
- Common Fixed Points for Commuting and Compatible Maps on Compacta
- Common Fixed Point Theorems for Commuting Maps on a Metric Space
- A Generalization of Banach's Contraction Principle
- Commuting Mappings and Fixed Points
- Invariant approximations and \(R\)-subweakly commuting maps