Mixed quasi-variational inequalities involving error bounds

被引：6
|
作者：
Khan, Suhel Ahmad [1 ]
Iqbal, Javid [2 ]
Shehu, Yekini [3 ]
机构：
[1] BITS Pilani, Dept Math, Dubai 345055, U Arab Emirates
[2] Baba Ghulam Shah Badshah Univ, Dept Math Sci, Rajouri, Jammu & Kashmir, India
[3] Univ Nigeria, Dept Math, Nsukka, Nigeria
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
error bounds; sub-differential; strong monotone mapping; regularized gap function; residue vector; GAP FUNCTIONS; EQUILIBRIUM PROBLEMS; MERIT FUNCTIONS; ALGORITHMS;
D O I：
10.1186/s13660-015-0945-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define some new notions of gap functions for set-valued mixed quasi-variational inequalities under suitable conditions. Further, we obtain local/global bounds for the solution of set-valued mixed quasi-variational inequality problems in terms of the residual gap function, the regularized gap function, and the D-gap function. The results obtained in this paper are generalization and refinement of previously known results for some class of variational inequality problems.
引用
收藏
页码：1 / 19
页数：19
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