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Abstract: (314 Views)
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.
Type of Study:
S |
Subject:
Anal Received: 2022/07/12 | Revised: 2024/04/7 | Accepted: 2023/08/13 | Published: 2024/01/8 | ePublished: 2024/01/8