Remarks on some recent metrical common fixed point theorems

DOI10.1016/j.aml.2011.01.045zbMath1296.54065OpenAlexW1991029855MaRDI QIDQ533472

Javid Ali, Mohammad Imdad, Mohammad Tanveer

Publication date: 3 May 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.045

zbMATH Keywords

fixed pointweakly compatible mapscompatible mapssubcompatible mapssubsequential continuity and reciprocal continuity

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items

Metrical common fixed point theorems without completeness and closedness, Some common fixed point and invariant approximation results for nonexpansive mappings in convex metric space, A coupled fixed point theorem in fuzzy metric space satisfying \(\phi\)-contractive condition, Common fixed points of generalized Meir-Keeler type condition and nonexpansive mappings, Common fixed point theorems under a new continuity condition, Some discussion on the existence of common fixed points for a pair of maps, Some new common fixed point theorems in fuzzy metric spaces, Some integral type fixed-point theorems and an application to systems of functional equations, Integral type common fixed point theorems in modified intuitionistic fuzzy metric spaces, A note on various classes of compatible-type pairs of mappings and common fixed point theorems, Strict common fixed points of nonlinear mappings via δ-distances and an application

Cites Work

• Common fixed point theorems for occasionally weakly compatible maps
• Generalized \(I\)-nonexpansive selfmaps and invariant approximations
• Greguš type fixed points for weakly compatible maps
• Compatible mapping and common fixed points
• Important tools and possible applications of metric fixed point theory.
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