Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces

In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing litera...

Full description

Saved in:
Bibliographic Details
Main Authors: Solomon Gebregiorgis Teweldemedhin, Kidane Koyas Tola
Format: article
Language:EN
Published: Hindawi Limited 2021
Subjects:
Online Access:https://doaj.org/article/f1f135c2bfab4d048696fbe1c0a8740c
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.