Existence of solutions of system of functional-integral equations using measure of noncompactness

Author(s):

Hemant Kumar Nashine* , Reza Arab , Ravi Agarwal

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 $mu$-set $(omega,vartheta)$-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-integralequations

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
583 to 595
https://www.magiran.com/p2261238