Author:
Hu Ju,Liu Xiao-lan,Sun Yan,Deng Jia,Zhang Huan
Abstract
AbstractIn this paper, using the notion of w-distance in metric spaces, we introduce two types of nonlinear contractions, $(\iota ,\psi ,\varphi ,\phi ,p)$
(
ι
,
ψ
,
φ
,
ϕ
,
p
)
and rational-$(\iota ,\psi , \varphi ,\phi ,p)$
(
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.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Sichuan Province
Fund Project of Sichuan University of Science and Engineering in hit-haunting for talents
2021 Innovation and Entrepreneurship Training Programfor College Students of Sichuan University of Science and Engineering
2022 Graduate Innovation Project of Sichuan University of Science and Engineering
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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