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http://dx.doi.org/10.4134/CKMS.2003.18.4.737

EXISTENCE RESULTS FOR VECTOR NONLINEAR INEQUALITIES  

Lee, Suk-Jin (Department of Mathematics Kyungsung University)
Lee, Byung-Soo (Department of Mathematics Kyungsung University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.4, 2003 , pp. 737-743 More about this Journal
Abstract
The purpose of this paper is to consider some existence results for vector nonlinear inequalities without any monotonicity assumption. As consequences of our main result, we give some existence results for vector equilibrium problem, vector variational-like inequality problem and vector variational inequality problems as special cases.
Keywords
vector nonlinear inequality; vector variational inequality; vector variational-like inequality; vector equilibrium problem; Tarafdar's fixed point theorem;
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