Coincidences of Lipschitz-Type Hybrid Maps and Invariant Approximation

DOI10.1080/01630560701563859zbMath1145.54040OpenAlexW2165334825MaRDI QIDQ5452411

Abdul Aziz Domlo, Nawab Hussain, Abdul Rahim Khan

Publication date: 4 April 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701563859

zbMATH Keywords

eigenvaluemetric spacebest approximationcommon fixed pointLipschitz conditioncoincidence pointweak commutativityweakly compatible maps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) 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)

Related Items (9)

Coincidence and common fixed points for hybrid strict contractions without the weakly commuting condition ⋮ Common coupled coincidence and coupled fixed point results in two generalized metric spaces ⋮ Coupled coincidence and common fixed point theorems for hybrid pair of mappings ⋮ Common stationary point of multivalued asymptotically regular mappings ⋮ Coupled common fixed point results in two generalized metric spaces ⋮ Convergence and Data Dependency of Normal−S Iterative Method for Discontinuous Operators on Banach Space ⋮ Fixed points of admissible almost contractive type mappings on \(b\)-metric spaces with an application to quadratic integral equations ⋮ Common fixed point results for two new classes of hybrid pairs in symmetric spaces ⋮ Some common fixed point theorems for weakly compatible mappings in metric spaces

Cites Work

• Some new common fixed point theorems under strict contractive conditions
• 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
• Common fixed-point results in best approximation theory
• Common fixed points of two partially commuting tangential selfmaps on a metric space
• Coincidence and fixed points for hybrid strict contractions
• Compatible mapping and common fixed points
• Common fixed points and best approximation
• Common fixed points of Lipschitz type mapping pairs
• Noncommuting selfmaps and invariant approximations
• Common fixed point and invariant approximation results for noncommuting generalized \((f,g)\)-nonexpansive maps
• Invariant approximations, generalized \(I\)-contractions, and \(R\)-subweakly commuting maps
• Applications of the Best Approximation Operator to *-Nonexpansive Maps in Hilbert Spaces
• Invariant Approximations for GeneralizedI-Contractions
• Coincidences and fixed points of nonself hybrid contractions
• Invariant approximations and \(R\)-subweakly commuting maps

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