Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces

In this paper, we establish coupled coincidence point results in probabilistic metric spaces with a partial order. The main theorem has several corollaries and is supported with an example. The corollaries are shown to be properly contained in the main theorem. By an application of a corollary we obtained a corresponding result in metric spaces which is also supported with an example. Some results in [Nonlinear Anal. 74 (2011) 6451–6458] and [Nonlinear Anal. 71 (2009) 1833–1843] are extended in this paper. The extensions are shown to be actual with the help of an example. We use Hadžić type t-norm in this paper. The methodology of the proofs in this work is a blending of analytic and order theoretic approaches.

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Coupled coincidence point theorems for (α-μ-ψ-H-F)-two sided-contractive type mappings in partially ordered metric spaces using compatible mappings

Filomat ◽

10.2298/fil1709657a ◽

2017 ◽

Vol 31 (9) ◽

pp. 2657-2673 ◽

Cited By ~ 2

Author(s):

Arslan Ansari ◽

Diana Dolicanin-Djekic ◽

Tatjana Dosenovic ◽

Stojan Radenovic

Keyword(s):

Metric Spaces ◽

Coincidence Point ◽

Coupled Coincidence Point ◽

Compatible Mappings ◽

Ordered Metric Spaces ◽

Partially Ordered Metric Spaces ◽

Partially Ordered ◽

Contractive Type ◽

Theoretical Results ◽

Coupled Coincidence

Using the concepts of a pair upclass, ?-admissible and ?-subadmissible mappings in this paper, are proven a coupled coincidence point results for mappings F : X2 ? X and g : X ? X. In this way, recent papers [27, 33] have been reformed and generalized. Two examples are given to support the theoretical results.

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Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces

Georgian Mathematical Journal ◽

10.1515/gmj-2014-0014 ◽

2014 ◽

Vol 21 (2) ◽

Cited By ~ 9

Author(s):

Jamshaid Ahmad ◽

Muhammad Arshad ◽

Pasquale Vetro

Keyword(s):

Metric Spaces ◽

Coincidence Point ◽

Coupled Coincidence Point ◽

Ordered Metric Spaces ◽

Partially Ordered Metric Spaces ◽

Partially Ordered ◽

Contractive Mappings ◽

Coupled Coincidence

Abstract.In this paper, we extend the coupled coincidence point theorems for a mixed

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Some fixed point results of generalized $$(\phi , \psi )$$-contractive mappings in ordered b-metric spaces

BMC Research Notes ◽

10.1186/s13104-020-05354-1 ◽

2020 ◽

Vol 13 (1) ◽

Author(s):

Belay Mitiku ◽

Kalyani Karusala ◽

Seshagiri Rao Namana

Keyword(s):

Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Coincidence Point ◽

Common Fixed Points ◽

Coupled Coincidence Point ◽

Partially Ordered ◽

Coupled Common Fixed Point ◽

Contractive Mappings ◽

Coupled Coincidence

Abstract Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results. Result The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.

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