On the Existence of Solutions and Tikhonov Regularization of Hemivariational Inequality Problems

Autor: Tang, Guo-ji, Wan, Zhongping, Wang, Xianfu
Zdroj: Vietnam Journal of Mathematics; June 2020, Vol. 48 Issue: 2 p221-236, 16p
Abstrakt: This paper is devoted to the existence of solution and Tikhonov regularization theory for a class of hemivariational inequalities. We give the existence of solutions for the class of hemivariational inequalities when the mappings satisfy the so-called hemivariational inequality property and a rather weak coercivity condition. The existence result allows us to deduce the Tikhonov regularization result. Our results generalize some results by He (Abstr. Appl. Anal. 2012, 172061, 2012) and others.
Databáze: Supplemental Index
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