Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems

Volume 9, Issue 3, pp 1178--1192 http://dx.doi.org/10.22436/jnsa.009.03.44

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Authors

Yu-Mei Wang - School of Mathematical Sciences, University of Electronic Science and Technology of China Chengdu, Sichuan, 611731, P. R. China. Yi-Bin Xiao - School of Mathematical Sciences, University of Electronic Science and Technology of China Chengdu, Sichuan, 611731, P. R. China. Xing Wang - School of Information Technology, Jiangxi University of Finance and Economics Nanchang, Jiangxi, 330013, P. R. China. Yeol Je Cho - Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju, 660-701, Korea. - Center for General Education, China Medical University, Taichung, 40402, Taiwan.

Abstract

In this paper, we generalize the concept of well-posedness to a system of hemivariational inequalities in Banach space. By introducing several concepts of well-posedness for systems of hemivariational inequalities considered, we establish some metric characterizations of well-posedness and prove some equivalence results of strong (generalized) well-posedness between a system of hemivariational inequalities and its derived system of inclusion problems.

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Keywords

• System of hemivariational inequalities
• well-posedness
• Clarke's generalization gradient
• system of inclusion problems.

MSC

•  49J40
•  47J22
•  49J52

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