توجه: محتویات این صفحه به صورت خودکار پردازش شده و مقاله‌های نویسندگانی با تشابه اسمی، همگی در بخش یکسان نمایش داده می‌شوند.
۱On the well–posedness of generalized hemivariational inequalities and inclusion problems in Banach spaces
اطلاعات انتشار: Journal of Nonlinear Sciences and Applications، نهم،شماره۶، ۲۰۱۶، سال
تعداد صفحات: ۱۳
In the present paper, we generalize the concept of well–posedness to a generalized hemivariational inequality, give some metric characterizations of the α–well–posed generalized hemivariational inequality, and derive some conditions under which the generalized hemivariational inequality is strongly α–well–posed in the generalized sense. Also, we show that the α–well–posedness of the generalized hemivariational inequality is equivalent to the α–well–posedness of the corresponding inclusion problem.

۲A hybrid extragradient method for bilevel pseudomonotone variational inequalities with multiple solutions
اطلاعات انتشار: Journal of Nonlinear Sciences and Applications، نهم،شماره۶، ۲۰۱۶، سال
تعداد صفحات: ۱۸
In this paper, we introduce and analyze a hybrid extragradient algorithm for solving bilevel pseudomonotone variational inequalities with multiple solutions in a real Hilbert space. The proposed algorithm is based on Korpelevich’s extragradient method, Mann’s iteration method, hybrid steepest–descent method, and viscosity approximation method (including Halpern’s iteration method). Under mild conditions, the strong convergence of the iteration sequences generated by the algorithm is derived.
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