A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings
نویسندگان
چکیده
منابع مشابه
Weighted Variational Inequalities with Set-valued Mappings
Because of their applications in economics, game theory, mathematical physics, operations research and other areas, many classes of vector variational inequalities were intensively studied. For existence of solutions, resolution methods or equivalence with equilibrium and optimization problems see, for example, [11], [14], [15], [19], [17] and the references therein. For the study of variationa...
متن کاملOn a class of variational-hemivariational inequalities involving set valued mappings
Using the KKM technique, we establish some existence results for variationalhemivariational inequalities involving monotone set valued mappings on bounded, closed and convex subsets in reflexive Banach spaces. We also derive several sufficient conditions for the existence of solutions in the case of unbounded subsets.
متن کاملSystem of Generalized Vector Quasi-Variational-Like Inequalities with Set-Valued Mappings
In this paper, we introduce and study the system of generalized vector quasi-variational-like inequalities in Hausdorff topological vector spaces. By means of fixed point theorem, we obtain existence theorem for the system of generalized vector quasi-variational-like inequalities and also derive the existence result of solutions for the generalized vector quasi-variational-like inequalities. Ke...
متن کاملA Set-valued Approach to Hemivariational Inequalities
LetX be a Banach space, X∗ its dual and let T :X→Lp(Ω,Rk) be a linear, continuous operator, where p, k ≥ 1, Ω being a bounded open set in RN . Let K be a subset of X, A:K X∗, G:K × X R and F : Ω×Rk ×Rk R set-valued maps with nonempty values. Using mainly set-valued analysis, under suitable conditions on the involved maps, we shall guarantee solutions to the following inclusion problem: Find u ∈...
متن کاملExistence of solutions for generalized nonlinear vector quasi-variational-like inequalities with set-valued mappings
In this paper, we introduce and study a class of generalized nonlinear vector quasi-variationallike inequalities with set-valued mappings in Hausdorff topological vector spaces which includes generalized nonlinear mixed variational-like inequalities, generalized vector quasi-variational-like inequalities, generalizedmixed quasi-variational-like inequalities and so on. Bymeans of fixed point the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2013
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2013/305068