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

‎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-integral equations