Fixed point results with respect to a wt-distance in partially ordered b-metric spaces and its application to nonlinear fourth-order differential equation

Reza Babaei; Hamidreza Rahimi; Ghasem Soleimani Rad

doi:10.4995/agt.2022.11368

Authors

Reza Babaei Islamic Azad University
Hamidreza Rahimi Islamic Azad University https://orcid.org/0000-0003-4883-4250
Ghasem Soleimani Rad Islamic Azad University https://orcid.org/0000-0002-0758-2758

DOI:

https://doi.org/10.4995/agt.2022.11368

Keywords:

partially ordered set, b-metric space, wt-distance, fixed point

Abstract

In this paper we study the existence of the fixed points for Hardy-Rogers type mappings with respect to a wt-distance in partially ordered metric spaces. Our results provide a more general statement, since we replace a w-distance with a wt-distance and ordered metric spaces with ordered b-metric spaces. Some examples are presented to validate our obtained results and an application to nonlinear fourth-order differential equation are given to support the main results.

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Author Biographies

Reza Babaei, Islamic Azad University

Ph.D.

Department of Mathematics, Faculty of Science, Central Tehran Branch

Hamidreza Rahimi, Islamic Azad University

Professor of Mathematics

Department of Mathematics, Faculty of Science, Central Tehran Branch

Ghasem Soleimani Rad, Islamic Azad University

Assistant Professor of Mathematics

Department of Mathematics, Faculty of Science, Central Tehran Branch

&

Young Researchers and Elite club, Islamic Azad University, IAU, Iran

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