Some fixed point results in ordered $b$-metric space with auxiliary functions

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:3
Some fixed point results in ordered $b$-metric space with auxiliary functions

Some fixed point results in ordered $b$-metric space with auxiliary functions

Authors : Kalyani K, Seshagiri Rao NAMANA, Belay MİTİKU

Pages : 421-432

Doi:10.31197/atnaa.758962

View : 9 | Download : 6

Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :The purpose of this paper is to establish some fixed point results for a class of generalized $insert ignore into journalissuearticles values(\phi, \psi);$-weak contraction mapping in a partially ordered $b$-metric space. This mapping necessarily have a unique fixed point under ordered relation in a space. Also, the results for common and coincidence fixed points of the self mappings are presented. These results generalize and extend an existing results in the literature. Some illustrations are given at the end to support the results.
Keywords : Ordered b metric space, Common fixed point, Coincidence point

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