Indian Journal of Industrial and Applied Mathematics
  • Year: 2020
  • Volume: 11
  • Issue: 2

Error Bounds for Extended Generalized Mixed Variational Inequality Problems Using Gap Functions

1Department of Mathematics, Aligarh Muslim University, Aligarh202002, India.

2Department of Mathematics, Islamic University of Madinah, Madinah, K.S.A.

3Department of Mathematics, Jazan University, Jazan, K.S.A.

* E-mail: *daraadil555@gmail.com

2ahmad_kalimuddin@yahoo.co.in

3drsalah12@hotmail.com, smohammad@jazanu.edu.sa

Abstract

In this paper, we set up gap function, regularized gap function and D-gap function for extended generalized mixed variational inequality. Then by utilizing these gap functions, we calculate error bounds for the solution of the problem. The results acquired in this paper generalize the familiar results in literature.

AMS Subject Classification: 49J40, 49J52, 90C30

Keywords

Variational inequality, Gap function, Normal residual vector, Error bound