On Unified Fixed Point and Convergence Results for Generalized Enriched Contractions With Applications

Muhammad Umar Javed, Muhammad Nazam, Asim Asiri and Aftab Hussain

Journal of Mathematics, 2026, vol. 2026, 1-15

Abstract: In this paper, we introduce a new class of generalized contractions, called enriched Ψ, φ-contractions. Within this framework, we establish several fixed-point theorems together with corresponding convergence results, which extend and unify a range of existing results in the literature. To demonstrate the applicability of the proposed approach, we provide illustrative examples and show that the obtained fixed-point and convergence results ensure the existence of solutions for certain classes of integral equations. These findings broaden the theoretical scope of contraction mappings and highlight their usefulness in the analysis of integral equations.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9969211

DOI: 10.1155/jom/9969211

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