Fixed points of multivalued convex contractions with application.
basic_science · Level V
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- Record sourced from PubMed, PMID 40354305.
- Also identified by DOI 10.1371/journal.pone.0321860 and PMC identifier 12068645.
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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.
Medical subject headings
- Algorithms
- Models, Theoretical