Solving integral equations via admissible contraction mappings-Reference-Cited by-同舟云学术

Solving integral equations via admissible contraction mappings

Published:2022 Issue:14 Volume:36 Page:4947-4961
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Nallaselli Gunasekaran¹,Gnanaprakasam Arul¹,Mani Gunaseelan²,Ege Ozgur³

Affiliation:

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

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

3. Department of Mathematics, Ege University, Bornova, Izmir, Turkey

Abstract

In this article, we introduce a new concept of admissible contraction and prove fixed point theorems which generalize Banach contraction principle in a different way more than in the known results from the literature. The article includes an example which shows the validity of our results, and additionally we obtain a solution of integral equation by admissible contraction mapping in the setting of b-metric spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference35 articles.

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