Optimality conditions for a class of variational inequalities with cone constraints

Abstract

In this paper, through the use of image space analysis, optimality conditions for a class of variational inequalities with cone constraints are proposed. By virtue of the nonlinear scalarization function, known as the Gerstewitz function, three nonlinear weak separation functions, two nonlinear regular weak separation functions and a nonlinear strong separation function are introduced. According to nonlinear separation functions, some optimality conditions of the weak and strong alternative for variational inequalities with cone constraints are derived.

Keywords

Variational inequalities with constraints / image space analysis / nonlinear separation function / optimality condition

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