Exceptional family of elements for generalized variational inequalities
نویسندگان
چکیده
*Correspondence: [email protected] School of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China Abstract This paper introduces the notion of exceptional family of elements for generalized variational inequalities in Hilbert spaces. The set-valued mapping is assumed to be upper semi-continuous compact with nonempty closed convex values. Based on topological degree for set-valued mappings, instead of the technique of continuous selection, an alternative theorem is obtained which says that the generalized variational inequalities have either a solution or an exceptional family of elements. In addition, an existing result of a solution for generalized variational inequalities is obtained. MSC: 90C25; 90C33
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ورودعنوان ژورنال:
- J. Global Optimization
دوره 48 شماره
صفحات -
تاریخ انتشار 2010