Well-posedness for generalized variational-hemivariational inequalities with perturbations in reflexive banach spaces

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Published: Dec 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.2460
Keywords:
Generalized variational-hemivariational inequality Well-posedness Clarke's generalized gradient Approximating sequence Inclusion problem

Main Article Content

Lu-Chuan Ceng
Yung-Yih Lur
Ching-Feng Wen

Abstract

In this paper, we consider an extension of well-posedness for a minimization problem to a class of generalized variational-hemivariational inequalities with perturbations in reflexive Banach spaces. We establish some metric characterizations for the $\alpha$-well-posed generalized variational-hemivariational inequality and give some conditions under which the generalized variational-hemivariational inequality is strongly $\alpha$-well-posed in the generalized sense. Under some mild conditions, we also prove the equivalence between the $\alpha$-well-posedness of the generalized variational-hemivariational inequality and the $\alpha$-well-posedness of the corresponding inclusion problem.

Article Details

How to Cite
Ceng, L.-C., Lur, Y.-Y., & Wen, C.-F. (2017). Well-posedness for generalized variational-hemivariational inequalities with perturbations in reflexive banach spaces. Tamkang Journal of Mathematics, 48(4), 345–364. https://doi.org/10.5556/j.tkjm.48.2017.2460
Issue
Vol. 48 No. 4 (2017)
Section
Papers
Author Biographies

Lu-Chuan Ceng

Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.

Yung-Yih Lur

Department of IndustrialManagement, Vanung University, Taoyuan, Taiwan.

Ching-Feng Wen

Center for Fundamental Science, and Research Center for Nonlinear Analysis and Optimization, KaohsiungMedical University, Kaohsiung, 80708, Taiwan; Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan.

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