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
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
