A set-valued approach to hemivariational inequalities
نویسندگان
چکیده
منابع مشابه
A 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 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 کاملA Topological Approach to Hemivariational Inequalities with Unilateral Growth Condition
The present paper is devoted to the study of the existence solution problem for a hemivariational inequality on vector-valued function space in the case when the nonlinear nonconvex part satisfies the unilateral growth condition. The critical point theory combined with the Galerkin approximation method have been used to establish the result.
متن کاملHemivariational Inequalities Systems and Applications
In this paper we trait hemivariational inequality systems. In certain case, this problem can be reduced to study a hemivariational inequality. Several applications are given as Browder and Hartmann-Stampacchia type results and Nash equilibrium point theorems. MSC 2000. 35J60, 49J35.
متن کاملWeighted 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 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: Topological Methods in Nonlinear Analysis
سال: 2004
ISSN: 1230-3429
DOI: 10.12775/tmna.2004.029