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

Open Access

Original research article

Author(s):

Kalyani Karusala^a, N. Seshagiri Rao^b, Belay Mitiku^b

^aDepartment of Mathematics, Vignan’s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, India.
^bDepartment of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, Ethiopia.

Advances in the Theory of Nonlinear Analysis and its Applications 5(3), 421–432.

Received: June 27, 2020

Accepted: May 31, 2021

Published: June 2, 2021

Abstract

The purpose of this paper is to establish some fixed point results for a class of generalized (ϕ,ψ)-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, generalized (ϕ,ψ)-weak contraction, Common fixed point, Coincidence point

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APA Style

Kalyani, K., Namana, S. R., & Mitiku, B. (2023). Some fixed point results in ordered -metric space with auxiliary functions. Advances in the Theory of Nonlinear Analysis and Its Application, 5(3), 421–432.