Modified inertial algorithm for solving mixed equilibrium problems in Hadamard spaces

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI:10.3934/naco.2021039

A. Khan, C. Izuchukwu, M. Aphane, G. C. Ugwunnadi

引用次数: 0

Abstract

The main purpose of this paper is to introduce the concept of modified inertial algorithm in Hadamard spaces. We emphasize that, as far as we know, this is the first time that this concept is being considered in this setting. Under some weak assumptions, we prove that the modified inertial algorithm converges strongly to a common solution of a finite family of mixed equilibrium problems and fixed point problem of a nonexpansive mapping. We also give a primary numerical illustration in the framework of Hadamard spaces, to show the efficiency of the modified inertial term in our proposed algorithm.

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求解Hadamard空间混合平衡问题的改进惯性算法

本文的主要目的是在Hadamard空间中引入修正惯性算法的概念。我们强调，据我们所知，这是第一次在这种情况下审议这一概念。在一些弱假设下，证明了改进的惯性算法强收敛于一类有限族混合平衡问题和非扩张映射不动点问题的公共解。我们还在Hadamard空间的框架下给出了一个初步的数值说明，以证明修正惯性项在我们提出的算法中的有效性。

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

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.