Abstract AI-Helper

A variational inequality defined by the second-order cone is considered, and it is shown that a necessary and sufficient condition for a solution of the variational inequality holds under some regularity condition....

A variational inequality defined by the second-order cone is considered, and it is shown that a necessary and sufficient condition for a solution of the variational inequality holds under some regularity condition.

A variational inequality defined by the second-order cone is considered, and it is shown that a necessary and sufficient condition for a solution of the variational inequality holds under some regularity condition.

주제어

#variational inequality   #second-order cone   #regularity condition  

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문제 정의

• The purpose of this paper is to give a complete characterization of solutions for a variational inequality problem defined by the second-order cone. We prove that a necessary and sufficient condition for a solution of the variational inequality holds under some regularity condition.

가설 설정

• The purpose of this paper is to give a complete characterization of solutions for a variational inequality problem defined by the second-order cone. We prove that a necessary and sufficient condition for a solution of the variational inequality holds under some regularity condition. We recall in this section some notations and basic results which will be used in next section.

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