Abstract
In this paper, we prove some existence theorems of solutions for two classes of generalized vector variational inequalities and Minty generalized vector variational inequalities.
Highlights
The variational inequality theory, which is mainly due to Stampacchia [ ], provides very powerful techniques for studying problems arising in mechanics, optimization, transportation, economics, contact problems in elasticity, and other branches of mathematics
Proof we prove that for each u ∈ A(D), A– (u) contains only one point
Let A : D → Y be a quasilinear operator which is continuous on line segments
Summary
The variational inequality theory, which is mainly due to Stampacchia [ ], provides very powerful techniques for studying problems arising in mechanics, optimization, transportation, economics, contact problems in elasticity, and other branches of mathematics. Let X and Y be two real linear spaces and A : D ⊆ X → Y be a quasilinear operator.
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