The study of error bounds for generalized vector inverse mixed quasi-variational inequalities-Reference-Cited by-同舟云学术

The study of error bounds for generalized vector inverse mixed quasi-variational inequalities

Published:2023 Issue:2 Volume:37 Page:627-642
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Kim Jong¹,Salahuddin S²,Ahmadini A.A.H.³

Affiliation:

1. Department of Mathematics Education, Kyungnam University, Cgangwon, Gyeongnam, , Korea

2. Department of Mathematics, Jazan University, Jazan, Saudi Arabia

3. Department of Mathematics, Jazan University, Jazan-, Saudi Arabia

Abstract

In this study, generalized multivalued vector inverse quasi-variational inequality problems are developed, and error bounds are obtained in terms of the residual gap function, the regularized gap function, and the D-gap function. With the help of these constraints, one can effectively estimate the distances between any feasible point and the solution set of problems involving generalized multivalued vector inverse quasi-variational inequality.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference25 articles.

1. D. Aussel, R. Correa, H. Marechal, Gap functions for quasi-variational inequalities and generalized Nash equilibrium problems, J. Optim. Theory Appl. 151 (2011), 474--488..

2. D. Aussel, R. Gupta, A. Mehra, Gap functions and error bounds for inverse quasi-variational inequality problems, J. Math. Anal. Appl. 407 (2013), 270-280.

3. G.Y. Chen, C.J. Goh, X.Q. Yang, On gap functions for vector variational inequalities, In: Giannessi, F. (ed.)VectorVariational Inequality and Vector Equilibria: Mathematical Theories, Kluwer Academic, Boston, 2000.

4. G.Y. Chen, X.X. Huang, X.Q. Yang, Vector Optimization: Set-Valued and Variational Analysis. Lecture Notes in Economics and Mathematical Systems. Springer, Berlin, 2005.

5. F. Giannessi, Theorems of the alternative, quadratic programs and complementarity problems, In: Cottle, R.W., Giannessi, F., Lions, J.L. Eds., Variational Inequalities and Complementarity Problems, John Wiley and Sons, Chichester, 1980.