A Generalized Darbo-Type Fixed Point Theorem Using Monotonicity in Partially Ordered Banach Spaces with Application to Integral Equation

Archita Vijayakumar Malge and Vishal Nikam

International Journal of Scientific Research in Science and Technology, 2025, vol. 12, issue 1, 716-722

Abstract: In this paper, we establish a generalized Darbo-type fixed point theorem for monotone operators in partially ordered Banach spaces. The theorem extends classical fixed point results by incorporating measures of noncompactness and monotonicity with respect to the order structure. The theorem is successfully applied to demonstrate the existence of solution for integral equation.

Keywords: Measure of Noncompactness; Darbo Fixed Point Theorem (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:etm:ijsrst:v12:y2025:i1:id:902

DOI: 10.32628/IJSRST2511243

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