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Some New Generalization of Darbo's Fixed Point Theorem and Its Application on Integral Equations.

Authors :
Das, Anupam
Hazarika, Bipan
Kumam, Poom
Source :
Mathematics (2227-7390). Mar2019, Vol. 7 Issue 3, p214. 1p.
Publication Year :
2019

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
7
Issue :
3
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
135604343
Full Text :
https://doi.org/10.3390/math7030214