ON THE METRIC CHARACTRIZATION FOR WELL-POSEDNESS OF K-SPLIT HEMIVARIATIONAL-LIKE INEQUALITIES

ON THE METRIC CHARACTRIZATION FOR WELL-POSEDNESS OF K-SPLIT HEMIVARIATIONAL-LIKE INEQUALITIES

B. O. Gillan

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Abstract

In this paper, we extend the concept of well-posedness for a class of k-split hemivariational like inequalities and characterize some conditions for the well-posedness of it. Then we show that Tykhonov well-posedness for this family of k-split hemivaria- tional like inequalities is equivalent to the existence and uniqueness of solution.

Keywords

Split hemivariational inequality, Clarke's generalized gradient,Well-posedness.