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Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces
Journal of Optimization Theory and Applications ( IF 1.6 ) Pub Date : 2019-12-07 , DOI: 10.1007/s10957-019-01616-6
Yekini Shehu , Aviv Gibali , Simone Sagratella

In this paper, we introduce an inertial projection-type method with different updating strategies for solving quasi-variational inequalities with strongly monotone and Lipschitz continuous operators in real Hilbert spaces. Under standard assumptions, we establish different strong convergence results for the proposed algorithm. Primary numerical experiments demonstrate the potential applicability of our scheme compared with some related methods in the literature.

中文翻译:

求解实 Hilbert 空间中拟变分不等式的惯性投影型方法

在本文中,我们介绍了一种具有不同更新策略的惯性投影型方法,用于解决实 Hilbert 空间中具有强单调和 Lipschitz 连续算子的拟变分不等式。在标准假设下,我们为所提出的算法建立了不同的强收敛结果。与文献中的一些相关方法相比,初步数值实验证明了我们的方案的潜在适用性。
更新日期:2019-12-07
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