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Several inertial methods for solving split convex feasibilities and related problems
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 2.9 ) Pub Date : 2020-04-30 , DOI: 10.1007/s13398-020-00857-9
Yan Tang , Aviv Gibali

In this paper, we study the problem of finding a common solution to an equilibrium and split convex feasibility problems in real Hilbert spaces. Inspired and motivated by classical as well as recent works in this field, we introduce several simple inertial self-adaptive algorithms for solving this problem. Convergence of the algorithms is given under mild and standard assumptions and a theoretical application of the problem for solving an equilibrium and proximal split convex feasibility problems is presented. Primary numerical experiments in finite and infinite dimensional spaces illustrate the performances of the proposed methods.

中文翻译:

求解分裂凸可行性及相关问题的几种惯性方法

在本文中,我们研究了在实 Hilbert 空间中寻找平衡和分裂凸可行性问题的通用解的问题。受该领域经典和近期作品的启发和启发,我们引入了几种简单的惯性自适应算法来解决这个问题。在温和和标准假设下给出了算法的收敛性,并提出了该问题在解决平衡和近端分裂凸可行性问题中的理论应用。有限和无限维空间中的初级数值实验说明了所提出方法的性能。
更新日期:2020-04-30
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