Regularization methods for elliptic quasi-variational inequalities in Banach spaces. (2nd November 2021)

• Record Type: Journal Article
• Authors: Su, Guangwang; Xue, Guangming; Xia, Guoen; Bin, Maojun
• Is Part Of: Optimization. Volume 70:Number 11(2021)
• Page Start: 2427
• Page End: 2439
• Publication Date: 2021-11-02
• Subjects: Regularization -- quasi-variational inequalities -- mosco convergence -- coercivity conditions; 47H10; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1783540
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: In this paper, we deal with a class of ill-posed quasi-variational inequalities with contaminated data by employing the elliptic regularization in Banach spaces. Firstly, we get an existence result for quasi-variational inequalities and show that the sequence of bounded regularized solutions converges strongly to a solution of the original quasi-variational inequalities under mild coercivity conditions. Next, we give the boundedness of regularized solutions for quasi-variational inequalities. Finally, an example is presented to illustrate our main results.