有序度量空间上广义$alpha_*$-$psi$-压缩多值映射的一些公共不动点结果及其在初值问题中的应用

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-05-01 DOI:10.22130/SCMA.2020.121445.753

S. Pahlavany, J. H. Asl, S. Rezapour

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摘要

2012年，Samet等人引入了$alpha$-$psi$-收缩类型映射的概念。建立了完备度量空间上映射的不动点定理。本文引入了广义$alpha_*$-$psi$-压缩多值映射的概念，并应用于初值问题，给出了有序度量空间上的不动点结果。

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Some Common Fixed Point Results for Generalized $alpha_*$-$psi$-contractive Multi-valued Mappings on Ordered Metric Spaces with Application to Initial Value Problem

In 2012, Samet, et al. introduced the notion of $alpha$-$psi$-contractive type mappings. They have been establish some fixed point theorems for the mappings on complete metricspaces. In this paper, we introduce the notion of generalized $alpha_*$-$psi$-contractive multi-valued mappings and we give some related fixed point results on ordered metric spaces via application to an initial value problem.

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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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