Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation

被引：0
作者：
A. Lahmdani
O. Chadli
J. C. Yao
机构：
[1] Ibn Zohr University,Department of Mathematics, Faculty of Sciences
[2] Ibn Zohr University,Department of Economics, Faculty of Economics and Social Sciences
[3] Kaohsiung Medical University,Center for Fundamental Science
[4] King Abdulaziz University,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2014年 / 160卷
关键词：
Hemivariational inequalities; Clarke subdifferential; Maximal monotone operators; Pseudomonotone operators; Equilibrium problems; Nonconvex; Evolution triple; Recession analysis; Periodic solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence of a solution for a hemivariational inequality problem in a noncoercive framework. The approach adopted is an equilibrium problem formulation associated with a maximal monotone bifunction with pseudomonotone perturbation. We proceed by introducing auxiliary problems that will be studied using a new existence result for equilibrium problems. An example to illustrate the use of the theory is given.
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页码：49 / 66
页数：17
相关论文
共 48 条
[1]  
Panagiotopoulos P.D.(1981)Non-convex superpotentials in the sence of F.H. Clarke and applications Mech. Res. Commun. 8 335-340
[2]  
Panagiotopoulos P.D.(1983)Nonconvex energy functions, hemivariational inequalities and substationarity principle Acta Mech. 48 111-130
[3]  
Motreanu D.(2001)Topological approach to hemivariational inequalities with unilateral growth condition J. Anal. Appl. 7 23-41
[4]  
Naniewicz Z.(2004)Elliptic variational hemivariational inequalities Appl. Math. Lett. 17 871-876
[5]  
Liu Z.H.(2007)Existence and multiplicity of solutions for semilinear hemivariational inequalities at resonance Nonlinear Anal. 66 1329-1340
[6]  
Denkowski Z.(1998)Existence results for coercive and noncoercive hemivariational inequalities Appl. Anal. 69 125-131
[7]  
Gasiǹski L.(2004)Regularized equilibrium problems with application to noncoercive hemivariational inequalities J. Optim. Theory Appl. 121 571-596
[8]  
Papageorgiou N.S.(1955)Note on noncooperative convex games Pac. J. Math. 5 807-815
[9]  
Chadli O.(1972)A remark on Ky Fan’s minimax principle Boll. UMI (9) I 257-264
[10]  
Chbani Z.(1987)Some remarks on nonlinear and noncoercive variational inequalities Boll. UMI 1B 143-165
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