On solvability a system of integral equations of Stochastic type via measure of non -compactness

Author
Shahram banaei
Abstract
In this paper, using the concept of measure of noncompactness, we introduce a new extended contraction of operators on a Banach space and obtain some generalizations of Darbo’s fixed-point theorem. In the following, as an application of the obtained results, we deal with the solvability of a system of integral equations of Stochastic type in Banach space. Our results generalize and extend a lot of comparable results in the literature. Finally, a concrete example is also included, which demonstrates the applicability of the obtained results.

Keywords
Measure of noncompactness
Integral equations
Darbo’s fixed point theorem
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Mathematical Research
Volume 9, Issue 4 - Serial Number 27
Autumn 2023
Pages 206-224