Fixed points of multivalued convex contractions with application

Abdul Rahim Khan, Hamed H Al-Sulami, Muhammad Rashid and Faiza Shabbir

PLOS ONE, 2025, vol. 20, issue 5, 1-23

Abstract: In this work, we establish fixed point outcomes for single- valued convex contraction type mappings in the context of a b-metric space. Some of the new results are extended for a multivalued convex contraction and an F-convex contraction. Thereby, an analogue of the famous Nadler’s fixed point theorem for a multivalued convex contraction mapping is obtained. The relation among various contractions is presented in a diagram for an insight in this area of investigations. We apply a special case of Theorem 2.11, to solve a nonlinear Fredholm integral equation for a Chatterjea convex contraction.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0321860

DOI: 10.1371/journal.pone.0321860

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