Solving an integral equation via orthogonal generalized $ {\boldsymbol{\alpha}} $-$ {\boldsymbol{\psi}} $-Geraghty contractions-Reference-Cited by-同舟云学术

Solving an integral equation via orthogonal generalized $ {\boldsymbol{\alpha}} $-$ {\boldsymbol{\psi}} $-Geraghty contractions

Published:2022 Issue:3 Volume:8 Page:5899-5917
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Prakasam Senthil Kumar¹,Gnanaprakasam Arul Joseph¹,Mani Gunaseelan²,Jarad Fahd³⁴

Affiliation:

1. Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India

2. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India

3. Department of Mathematics, Çankaya University, Etimesgut 06790, Ankara, Turkey

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>In this paper, we introduce orthogonal generalized $ {\bf{O}} $-$ {\boldsymbol{\alpha}} $-$ {\boldsymbol{\psi}} $-Geraghty contractive type mappings and prove some fixed point theorems in $ {\bf{O}} $-complete $ {\bf{O}} $-$ \mathfrak{b} $-metric spaces. We also provide an illustrative example to support our theorem. The results proved here will be utilized to show the existence of a solution to an integral equation as an application.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference31 articles.

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