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Compatible mappings and common fixed points [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 A generalization of the commuting mapping concept is introduced. Properties of this weakened commutativity are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.
Gerald Jungck
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Fixed point theorems for hybrid pair of weak compatible mappings in partial metric spaces [PDF]
Mathematica Bohemica, 2023 The notions of compatible mappings play a crucial role in metrical fixed point theory. Partial metric spaces are a generalization of the notion of a metric space in the sense that distance of a point from itself is not necessarily zero. In this paper, we
Santosh Kumar, Johnson Allen Kessy
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Conditionally Compatible Mappings, Non-Compatible Mappings, Faintly Compatible Mappings and Some Results on Common Fixed Point in $C^*$-Algebra Valued Metric Space [PDF]
Sahand Communications in Mathematical AnalysisThis manuscript introduces and investigates various types of mappings in the context of a $C^*$-algebra valued metric space. These include conditionally compatible, non-compatible, and faintly compatible mappings. Additionally, the manuscript establishes
Rishi Dhariwal, Deepak Kumar
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Journal of Function Spaces, 2021 The key objective of this research article includes the study of some rational type coincidence point and deriving common fixed point (CFP) results for rational type weakly-compatible three self-mappings in fuzzy metric (FM) space.
Iqra Shamas +4 more
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Degrees of compatible L-subsets and compatible mappings
KybernetikaSummary: Based on a completely distributive lattice \(L\), degrees of compatible \(L\)-subsets and compatible mappings are introduced in an \(L\)-approximation space and their characterizations are given by four kinds of cut sets of \(L\)-subsets and \(L\)-equivalences, respectively. Besides, some characterizations of compatible mappings and compatible
Shi, Fu-Gui, Sun, Yan
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Common fixed point theorems for compatible mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş +2 more
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Occasionally Weakly Compatible Mappings [PDF]
Turkish Journal of Analysis and Number Theory, 2016 In this paper, the concept of compatible maps of type (A) and occasionally weakly compatible maps in fuzzy metric space have been applied to prove common fixed point theorem. A fixed point theorem for six self maps has been established using the concept of compatible maps of type (A) and occasionally weakly compatible maps, which generalizes the result
Amit Kumar Govery, Mamta Singh
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Compatible mappings and common fixed points revisited [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 A fixed point theorem involving a Meir-Keeler type contraction principle is refined by diminishing continuity requirements.
Gerald Jungck
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Common fixed points of compatible mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper, we present a common fixed point theorem for compatible mappings, which extends the results of Ding, Diviccaro-Sessa and the third author.
S. M. Kang, Y. J. Cho, G. Jungck
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Fixed Point Theorem of Weak Compatible Maps of Type (γ) in Neutrosophic Metric Space [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, we give definitions of compatible mappings of type (γ) in neutrosophic metric space, and obtain a common fixed point theorem under the conditions of weakly compatible mappings of type (γ) in complete neutrosophic metric spaces.
A.N. Mangayarkkarasi +3 more
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