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Compatible mappings and common fixed points

Gerald Jungck
- 01 Jan 1986 - 
- Vol. 9, Iss: 2, pp 285-288
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TLDR
In this paper, a common fixed point theorem of S.L. and S.P. Singh is generalized by weakening commutativity hypotheses and by increasing the number of functions involved.
Abstract
A common fixed point theorem of S.L. and S.P. Singh is generalized by weakening commutativity hypotheses and by increasing the number of functions involved.

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Some new common fixed point theorems under strict contractive conditions

TL;DR: In this paper, the main purpose of this paper is to give some new common fixed point theorems under strict contractive conditions for mappings satisfying a new property, which is related to our work.
Journal ArticleDOI

Common fixed point results for noncommuting mappings without continuity in cone metric spaces

TL;DR: The existence of common fixed points for mappings satisfying certain contractive conditions, without appealing to continuity, in a cone metric space is established in this paper, which generalizes several well-known comparable results in the literature.
Journal ArticleDOI

A coupled coincidence point result in partially ordered metric spaces for compatible mappings

TL;DR: In this paper, the notion of compatibility of mappings in a partially ordered metric space was introduced and used to establish a coupled coincidence point result, which was later extended to fixed point theorems.
Journal ArticleDOI

Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces

TL;DR: In this article, the generalized weak contractive condition in partially ordered complete b-metric spaces was shown to hold for four mappings satisfying generalized weak contractsive condition, and the results extended and improved several comparable results in existing literature.
Journal ArticleDOI

Common fixed points of maps on fuzzy metric spaces

TL;DR: Following Grabiec's approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy maps.
References
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Journal ArticleDOI

A theorem on contraction mappings

TL;DR: In this article, it was shown that the conclusion of Banach's Theorem holds more generally from a condition of weakly uniformly strict contraction, which is known as weakly uniform strict contraction.
Journal ArticleDOI

A fixed point theorem

TL;DR: In this paper, the fixed point theorem is proved for Cech homology theory with coefficients in a field, and En is Euclidean w-space, and a mapping is said to link a point of En provided that x£/(5) and the induced homomorphism is not zero.
Journal ArticleDOI

Common fixed-point theorems for commuting maps on a metric space

TL;DR: In this article, a fixed point theorem generalization of Theorem 1.1.2 has been proved for complete metric spaces, where the set of points yk,yk+ I *.* Yk+In is defined as a sequence of points.