An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems. (5th September 2022)

• Record Type: Journal Article
• Authors: Liu, Ting; Jia, Wensheng
• Other Names: Nicolay Samuel Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-09-05
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/2539961
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we mainly obtain an approximation theorem and generic convergence of solutions for inverse quasivariational inequality problems. First, we define the concept of the approximate solution to inverse quasivariational inequality problems under bounded rationality theory. Afterward, an approximation theorem that satisfies fairly mild assumptions is proved. Moreover, we establish a function space and discuss the convergence properties of solutions for inverse quasivariational inequality problems by the method of set-valued analysis. Finally, we prove that most of inverse quasivariational inequality problems are stable in the case of perturbation of the objective function. These results are new, which improve the corresponding outcomes of the recent literatures.