Existence of solutions to non-linear quadratic integral equations via measure of non-compactness-Reference-Cited by-同舟云学术

Existence of solutions to non-linear quadratic integral equations via measure of non-compactness

Published:2022 Issue:1 Volume:36 Page:73-87
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Karmakar Surajit¹,Garai Hiranmoy¹,Dey Lakshmi¹,Chanda Ankush²

Affiliation:

1. Department of Mathematics, National Institute of Technology Durgapur, India

2. Department of Mathematics, Vellore Institute of Technology, Vellore, India

Abstract

The objective of this manuscript is to enquire for the solvability of a specific type of non-linear quadratic integral equations via the interesting notion of measure of non-compactness. Firstly, we inquire into couple of exciting fixed point theorems involving a measure of non-compactness in the setting of a Banach space. Subsequently, bringing into play a suitable measure of non-compactness and the acquired results, we discuss the existence of solutions to the aforementioned kind of non-linear quadratic integral equations.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference30 articles.

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