Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces

The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized $(\phi, \psi)$-contraction conditions in complete partially ordered $b$-metric spaces. Our results generalize, exte...

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Bibliographic Details
Main Authors: N. Seshagiri Rao, K. Kalyani
Format: Article
Language:English
Published: Universidad de La Frontera 2022-08-01
Series:Cubo
Subjects:
Online Access:https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3107/2206
Description
Summary:The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized $(\phi, \psi)$-contraction conditions in complete partially ordered $b$-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. A few examples are illustrated to support our findings.
ISSN:0716-7776
0719-0646