Title of article
Existence of solutions of system of functional-integral equations using measure of noncompactness
Author/Authors
Nashine, Hemant Kumar Department of Mathematics - School of Advanced Sciences - Vellore Institute of Technology, Vellore, India , Arab, Reza Department of Mathematics - Sari Branch, Islamic Azad University, Sari, Iran , Agarwal, Ravi P. Department of Mathematics - Texas A & M University, Texas, USA
Pages
13
From page
583
To page
595
Abstract
We propose to investigate the solutions of system of functional-integral equations in the setting of measure of noncompactness on real-valued bounded and continuous Banach space. To achieve this, we first establish some new Darbo type fixed and coupled fixed point results for μ-set (ω,ϑ)-contraction operator using arbitrary measure of noncompactness in Banach spaces. An example is given in support for the solutions of a pair of system of functional-integral equations.
Keywords
Fixed point , Coupled fixed point , Measure of noncompactness , Functional-integral equations
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2607331
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