论文标题

在凸组的交集下,用于准胶均衡问题的平行亚级别投影算法

A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets

论文作者

Yen, Le Hai, Muu, Le Dung

论文摘要

在本文中,我们研究了平衡问题,其中双功能可以相对于第二个变量,而可行的集合是有限数量的凸集集的相交。我们提出了一个投影算法,可以将投影独立计算到每个组件集上。研究了算法的收敛性,并提供了涉及仿射分数操作员的变异不平等问题的数值示例,以证明算法的行为。

In this paper, we studied the equilibrium problem where the bi-function may be quasiconvex with respect to the second variable and the feasible set is the intersection of a finite number of convex sets. We propose a projection-algorithm, where the projection can be computed independently onto each component set. The convergence of the algorithm is investigated and numerical examples for a variational inequality problem involving affine fractional operator are provided to demonstrate the behavior of the algorithm.

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