On Boyd-Wong type contraction in generalized metric spaces and its application to the stability of some nonlinear differential equations
Applicable Nonlinear Analysis, Volume 4, Issue 1, April 2027, Pages: 89–105
Zhina Daneshvar
Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran
Ali Farajzadeh
Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran
Abstract
In this paper, we introduce a Boyd-Wong type contraction in generalized metric spaces and prove the existence of a unique fixed point for such mappings. We investigate the stability of a general class of nonlinear differential equations in the sense of Hyers–Ulam and Hyers–Ulam–Rassias using our obtained fixed point result. Our results extend and improve some existence results and stability results in literature. Some illustrative examples are given to show the usability of our main results.
Cite this Article as
Zhina Daneshvar and Ali Farajzadeh, On Boyd-Wong type contraction in generalized metric spaces and its application to the stability of some nonlinear differential equations, Applicable Nonlinear Analysis, 4(1), 89–105, 2027