寻找平衡和固定点问题共同解的投影子梯度算法

SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY Pub Date : 2023-12-16 DOI:10.51453/2354-1431/2023/1033

Thang Tran Van

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摘要

本文设计了一种新的投影子梯度算法，用于寻找实希尔伯特空间中平衡和定点问题的公共解。所提出的算法是投影法、子梯度法和马纳迭代技术的结合。在温和条件下建立了收敛定理。

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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A PROJECTION SUBGRADIENT ALGORITHM FOR FINDING A COMMON SOLUTION OF EQUILIBRIUM AND FIXED POINT PROBLEMS

In this paper, we design a new projection subgradient algorithm for finding a common solution of equilibrium and fixed point problems in a real Hilbert space. The proposed algorithm is a combination of the projection method, subgradient method and Man iterative technique. The convergent theorem is established under mild conditions.

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SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY

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