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http://dx.doi.org/10.4134/CKMS.2003.18.3.459

ON THE GENERALIZED SET-VALUED MIXED VARIATIONAL INEQUALITIES  

Zhao, Yali (Department of Mathematics Chaoyang Junior Normal College)
Liu, Zeqing (Department of Mathematics Liaoning Normal University)
Kang, Shin-Min (Department of Mathematics Gyeongsang National University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.3, 2003 , pp. 459-468 More about this Journal
Abstract
In this paper, we introduce and study a new class of the generalized set-valued mixed variational inequalities. Using the resolvent operator technique, we construct a new iterative algorithm for solving this class of the generalized set-valued mixed variational inequalities. We prove the existence of solutions for the generalized set-valued mixed variational inequalities and the convergence of the iterative sequences generated by the algorithm.
Keywords
generalized set-valued mixed variational inequality; resolvent operator; iterative algorithm;
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