求解巴拿赫空间中伪单调变分不等式的新算法

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI:10.15672/hujms.1228124

G. Zamani Eskandani, M. Raei̇si̇, R. Lotfi̇kar

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引用次数: 0

摘要

本文介绍了在比希尔伯特空间更广义的 p-uniformly convex 和 uniformly smooth Banach 空间中寻找涉及伪单调算子的变分不等式问题解的新算法，该伪单调算子也是 Bregman 相对非展开映射的定点。我们证明了所提算法的弱收敛定理和强收敛定理。最后，我们给出了一些数值实验来支持我们的主要结果。

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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New algorithms for solving pseudo-monotone variational inequalities in Banach spaces

In this paper, we introduce new algorithms for finding a solution of a variational inequality problem involving pseudo-monotone operator which is also a fixed point of a Bregman relatively nonexpansive mapping in p-uniformly convex and uniformly smooth Banach spaces that are more general than Hilbert spaces. We prove weak and strong convergence theorems for proposed algorithms. Finally, we give some numerical experiments for supporting our main results.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.