Some new generalization of Darbo's fixed point theorem and its application on integral equations

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Das A., Hazarika B., Kumam P.

Publisher: MDPI

Publication year: 2019

Journal: Mathematics (2227-7390)

Volume number: 7

Issue number: 3

ISSN: 2227-7390

eISSN: 2227-7390

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85062953891&doi=10.3390%2fmath7030214&partnerID=40&md5=cd7c758ef0f0728a1c26361dcacc8741

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach Algebra, and also illustrate the results with the help of an example. ฉ 2019 by the authors.

Keywords

Functional integral equations