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. 2020 Nov 17;13(1):537.
doi: 10.1186/s13104-020-05354-1.

Some fixed point results of generalized ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces

Belay Mitiku  1 , Kalyani Karusala  2 , Seshagiri Rao Namana  1
Affiliations

Some fixed point results of generalized ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces

Belay Mitiku et al. BMC Res Notes. .

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 ( 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 ( ϕ , ψ ) -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.

Keywords: Compatible; Coupled coincidence point; Coupled common fixed point; Fixed point; Mixed f-monotone; Partially ordered b-metric space.

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Conflict of interest statement

The authors declare that they have no competing interests.

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