Weak sharpness for solutions of nonsmooth variational inequalities and applications


Nguyen, Luong V. and Qin, Xiaolong


Abstract

carpathian_2020_36_1_109_117_abstract

In this paper, we first give some new characterizations of weak sharpness of the solution set of nonsmooth variational inequalities in terms of partial subdiferentials/Gâteaux derivatives of involving bifunctions. As applications, we use a new characterization to establish sufficient conditions for guaranteeing finite termination of an arbitrary algorithm solving nonsmooth variational inequalities under the weak sharpness assumption.

Additional Information

Author(s)

 Qin, Xiaolong, Nguyen, Luong V.