Relation-Theoretic Suzuki Fixed Point Results by Employing a Suitable Class of Nonlinear Contractions With an Application to Nonlinear Integral Equations

Doaa Filali, Mohammad Arif, Faizan Ahmad Khan, Fahad M. Alamrani, Shurooq B. Alblawie and Adel Alatawi

Journal of Mathematics, 2026, vol. 2026, 1-9

Abstract: The aim of this article is to derive fixed point findings under a suitable class of Suzuki nonlinear contractions besides utilizing a specific binary relation (not necessarily transitive) on a metric space. Established results are sharpened forms over several corresponding results of the existing literature, such as relation-theoretic nonlinear contractive and nonlinear contractive (without use of relation) types of results, which will be derived from our newly established results. Furthermore, an example is constructed to demonstrate the realized improvement of established results. Finally, an application of our findings is incorporated, i.e., a solution of a nonlinear integral problem is discussed.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7698865

DOI: 10.1155/jom/7698865

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