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- Title
φ-fixed point results for nonlinear contractions with an application.
- Authors
Hu, Ju; Liu, Xiao-lan; Sun, Yan; Deng, Jia; Zhang, Huan
- Abstract
In this paper, using the notion of w-distance in metric spaces, we introduce two types of nonlinear contractions, (ι , ψ , φ , ϕ , p) and rational- (ι , ψ , φ , ϕ , p) contractions. Based on these contractions, we prove the existence and uniqueness of a φ-fixed point for the corresponding contraction. We also provide some examples to demonstrate the correctness and practicability of our results, along with a numerical experiment. Finally, we apply the obtained results to linear matrix equations and nonlinear Fredholm integral equations.
- Subjects
LINEAR equations; NONLINEAR integral equations
- Publication
Journal of Inequalities & Applications, 2023, Vol 2023, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-023-03021-0