φ-fixed point results for nonlinear contractions with an application
نویسندگان
چکیده
Abstract In this paper, using the notion of w -distance in metric spaces, we introduce two types nonlinear contractions, $(\iota ,\psi ,\varphi ,\phi ,p)$ ( ι , ψ φ ϕ p ) and rational- , \varphi contractions. Based on these prove existence uniqueness a φ -fixed point for corresponding contraction. We also provide some examples to demonstrate correctness practicability our results, along with numerical experiment. Finally, apply obtained results linear matrix equations Fredholm integral equations.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2023
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-023-03021-0