Some discussion on the existence of common fixed points for a pair of maps

DOI10.1186/1687-1812-2013-187zbMath1469.54173OpenAlexW2149163194WikidataQ59299697 ScholiaQ59299697MaRDI QIDQ2253234

Poom Kumam, Dhananjay Gopal, Deepesh Kumar Patel

Publication date: 25 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-187

zbMATH Keywords

common fixed pointconditionally sequential absorbingpseudo-reciprocal continuity

Mathematics Subject Classification ID

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

Related Items (7)

Relational Meir-Keeler contractions and common fixed point theorems ⋮ $C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Integral type common fixed point theorems in modified intuitionistic fuzzy metric spaces ⋮ Some fixed points results in \(b\)-metric and quasi \(b\)-metric spaces ⋮ A note on various classes of compatible-type pairs of mappings and common fixed point theorems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Metrical common fixed point theorems without completeness and closedness
• On some generalizations of commuting mappings
• Common fixed points for \(R\)-weakly commuting in fuzzy metric spaces
• Remarks on some recent metrical common fixed point theorems
• Common fixed point theorems for occasionally weakly compatible maps
• Common fixed point theorems for families of occasionally weakly compatible mappings
• Common fixed points for \(\mathcal {JH}\)-operators and occasionally weakly biased pairs under relaxed conditions
• Weak reciprocal continuity and fixed point theorems
• Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces
• Generalized \(I\)-nonexpansive selfmaps and invariant approximations
• Almost biased mappings and almost compatible mappings are equivalent under some condition
• Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions
• A common fixed point theorem under a new condition
• Common fixed points of noncommuting mappings
• A comparison of various types of compatible maps and common fixed points
• Remarks on Jachymski's fixed point theorems for compatible maps
• Compatible mapping and common fixed points
• Important tools and possible applications of metric fixed point theory.
• Common coupled fixed point theorems for \(w^*\)-compatible mappings without mixed monotone property
• Occasionally weakly compatible mappings and fixed points
• Common fixed points of Lipschitz type mapping pairs
• Discontinuity and fixed points
• Common fixed point theorems for occasionally weakly compatible maps satisfying property (E. A) using an inequality involving quadratic terms
• On Fixed and Periodic Points Under Contractive Mappings
• Commuting Mappings and Fixed Points
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• Commuting Functions with No Common Fixed Point
• On Common Fixed Points of Commuting Continuous Functions on an Interval

This page was built for publication: Some discussion on the existence of common fixed points for a pair of maps