Existence of Solutions for Variational-Like Hemivariational Inequalities Involving Lower Semicontinuous Maps

Guo-ji Tang (), Zhong-bao Wang () and Nan-jing Huang ()
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Guo-ji Tang: Guangxi University for Nationalities, School of Science
Zhong-bao Wang: Southwest Jiaotong University, Department of Mathematics
Nan-jing Huang: Sichuan University, Department of Mathematics

Chapter Chapter 4 in Optimization Methods, Theory and Applications, 2015, pp 67-84 from Springer

Abstract: Abstract The main aim of this chapter is to investigate the existence of solutions in connection with a class of variational-like hemivariational inequalities in reflexive Banach spaces. Some existence theorems of solutions for the variational-like hemivariational inequalities involving lower semicontinuous set-valued maps are proved under different conditions. Moreover, a necessary and sufficient condition to guarantee the existence of solutions for the variational-like hemivariational inequalities is also given.

Keywords: Variational-like hemivariational inequality; Generalized monotonicity; Set-valued map; Existence; Mosco’s alternative; 49J40; 49J45; 47J20 (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-47044-2_4

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DOI: 10.1007/978-3-662-47044-2_4

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