Open AccessJournal Article
A Common Fixed Point Theorem of $Gregu{\check{s}}$ Type for Two Pairs of Compatible Mappings
H.K. Pathak,Khan +1 more
Reads0
Chats0
TLDR
In this article, a common fixed point theorem of type for two pairs of compatible mappings by using a single hypothesis on the existence of non-Archimedian trisection points was presented.Abstract:
In this note, we present a common fixed point theorem of type for two pairs of compatible mappings by using a single hypothesis on the existence of 'non-Archimedian trisection-points'. In the sequel, our result improve the results of Davies and Sessa, Davies, Jungck and many others.read more
Citations
More filters
Journal Article
Compatible mappings of type (C) and common fixed point theorems of Gregus type
Journal ArticleDOI
Some fixed point theorems for compatible maps
TL;DR: In this article, a collection of fixed point theorems is generalized by replacing hypothesized commutativity or weak commutivity of functions involved by compatibility, and a set of fixed-point functions are replaced with fixed point functions by compatibility.
Journal Article
Common fixed point theorems for mappings satisfying an implicit relation without decreasing assumption
Abdelkrim Aliouche,Ahcene Djoudi +1 more
TL;DR: In this article, the authors prove common flxed point theorems in metric spaces for four mappings satisfying an implicit relation, without decreasing assumption, using the concept of weak compatibility.
Journal ArticleDOI
A comparison of various noncommuting conditions in metric fixed point theory and their applications
TL;DR: In this paper, the authors present a survey that provides a brief historical account of the development through definitions and comparison of weaker forms of commuting mappings set brought together from some applications oriented point of view.
References
More filters
Journal ArticleDOI
Compatible mappings of type (B) and common fixed point theorems of Greguš type
Journal ArticleDOI
Some fixed point theorems for compatible maps
TL;DR: In this article, a collection of fixed point theorems is generalized by replacing hypothesized commutativity or weak commutivity of functions involved by compatibility, and a set of fixed-point functions are replaced with fixed point functions by compatibility.
Journal Article
Common fixed point theorems for mappings satisfying an implicit relation without decreasing assumption
Abdelkrim Aliouche,Ahcene Djoudi +1 more
TL;DR: In this article, the authors prove common flxed point theorems in metric spaces for four mappings satisfying an implicit relation, without decreasing assumption, using the concept of weak compatibility.
Journal ArticleDOI
A comparison of various noncommuting conditions in metric fixed point theory and their applications
TL;DR: In this paper, the authors present a survey that provides a brief historical account of the development through definitions and comparison of weaker forms of commuting mappings set brought together from some applications oriented point of view.