Darbo型最佳邻近点（对）的非紧性测度结果及其应用

Pub Date : 2022-01-02 DOI:10.24193/fpt-ro.2022.1.16

M. Gabeleh, D. Patel, P. Patle

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引用次数: 4

摘要

这项工作主要旨在通过模拟函数和非紧性度量来研究新类别的循环（非循环）映射的最佳邻近点（对）的存在性。使用不同类别的附加函数可以推广这项工作中的压缩不等式。作为主要结论的一个应用，考察了一类积分微分方程组在某些新条件下最优解的存在性。作为我们存在性结果的一个应用，我们建立了以下积分微分方程组解的存在性

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Darbo type best proximity point (pair) results using measure of noncompactness with application

. Primarily this work intends to investigate the existence of best proximity points (pairs) for new classes of cyclic (noncyclic) mappings via simulation functions and measure of noncompact-ness. Use of diﬀerent classes of additional functions make it possible to generalize the contractive inequalities in this work. As an application of the main conclusions, a survey for the existence of optimal solutions of a system of integro-diﬀerential equations under some new conditions is presented. As an application of our existence results, we establish the existence of a solution for the following system of integro-diﬀerential equations

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