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On Nonconvex Pseudomonotone Equilibrium Problems with Applications
Set-Valued and Variational Analysis ( IF 1.6 ) Pub Date : 2021-05-05 , DOI: 10.1007/s11228-021-00586-0
F. Lara

In this paper, we provide a further study for nonconvex pseudomonotone equilibrium problems and nonconvex mixed variational inequalities by using global directional derivatives. We provide finer necessary and sufficient optimality conditions for both problems in the pseudomonotone case and, as a consequence, a characterization for a point to be a solution for nonconvex equilibrium problems is given. Finally, we apply the golden ratio algorithm for a class of nonconvex functions in equilibrium problems and mixed variational inequalities.



中文翻译:

非凸伪单调平衡问题及其应用

在本文中,我们将通过使用全局方向导数来进一步研究非凸拟单调平衡问题和非凸混合变分不等式。我们为拟单调情况下的两个问题提供了更好的必要和充分的最优性条件,因此,给出了一个点的表征,以解决非凸平衡问题。最后,我们将黄金比例算法应用于平衡问题和混合变分不等式中的一类非凸函数。

更新日期:2021-05-05
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