Iterative approximation of common solution of variational inequality and certain optimization problems with multiple output sets in Hadamard space

IF 1.1 1区哲学 0 PHILOSOPHY

ANALYSIS Pub Date : 2024-01-03 DOI:10.1515/anly-2022-1075

H. Abass, O. Oyewole, Olayinka Martins Onifade, O. Narain

引用次数: 0

Abstract

Abstract In this paper, our main interest is to propose a viscosity iterative method for approximating solutions of variational inequality problems, resolvents of monotone operators and fixed points of ρ-demimetric mappings with multiple output sets in Hadamard spaces. We prove a strong convergence result for approximating the solutions of the aforementioned problems under some mild conditions. Also, we present an application of our main result to a convex minimization problem. Our results improve and generalize many related results in the literature.

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哈达玛德空间中变分不等式和具有多个输出集的某些优化问题的普通解的迭代逼近

摘要在本文中，我们的主要兴趣是提出一种粘性迭代法，用于逼近哈达玛德空间中具有多个输出集的变分不等式问题、单调算子的解析子和 ρ-度量映射的定点的解。我们证明了在一些温和条件下逼近上述问题解的强收敛性结果。此外，我们还将主要结果应用于凸最小化问题。我们的结果改进并概括了文献中的许多相关结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ANALYSIS PHILOSOPHY-

CiteScore

1.30

自引率

12.50%

发文量

期刊介绍： Analysis is the most established and esteemed forum in which to publish short discussions of topics in philosophy. Articles published in Analysis lend themselves to the presentation of cogent but brief arguments for substantive conclusions, and often give rise to discussions which continue over several interchanges. A wide range of topics are covered including: philosophical logic and philosophy of language, metaphysics, epistemology, philosophy of mind, and moral philosophy.