کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842057 908524 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators
چکیده انگلیسی

This paper gives a solution existence theorem for a generalized variational inequality problem with an operator which is defined on an infinite dimensional space, which is C-pseudomonotone in the sense of Inoan and Kolumbán [D. Inoan, J. Kolumbán, On pseudomonotone set-valued mappings, Nonlinear Analysis 68 (2008) 47–53], but which may not be upper semicontinuous on finite dimensional subspaces. The proof of the theorem provides a new technique which reduces infinite variational inequality problems to finite ones. Two examples are given and analyzed to illustrate the theorem. Moreover, an example is presented to show that the C-pseudomonotonicity of the operator cannot be omitted in the theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 4, 15 February 2011, Pages 1495–1500
نویسندگان
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