Nonzero Solutions of Generalized Variational Inequalities
نویسندگان
چکیده
منابع مشابه
Nonzero Solutions of Generalized Variational Inequalities
The existence of nonzero solutions for a class of generalized variational inequalities is studied by fixed point index approach for multivalued mappings in finite dimensional spaces and reflexive Banach spaces. Some new existence theorems of nonzero solutions for this class of generalized variational inequalities are established.
متن کاملResearch Article The Nonzero Solutions and Multiple Solutions for a Class of Bilinear Variational Inequalities
The fundamental theory of the variational inequalities, since it was founded in the 1960’s, has made powerful progress and has played an important role in nonlinear analysis. It has been applied intensively tomechanics, partial differential equation problems with boundary conditions, control theory, game theory, optimization methods, nonlinear programming, and so forth (see [1]). In 1987, Noor ...
متن کاملSolutions of variational inequalities on fixed points of nonexpansive mappings
n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.
متن کاملNew Existence Theorems for Solutions of Generalized Quasi–variational Inequalities
In this paper, we give several existence theorems for solutions of the generalized quasi–variational inequalities under new conditions. Even in topological vector spaces, our results are new.
متن کاملExistence of Solutions for η-Generalized Vector Variational-Like Inequalities
We introduce and study a class of η-generalized vector variational-like inequalities and a class of ηgeneralized strong vector variational-like inequalities in the setting of Hausdorff topological vector spaces. An equivalence result concerned with two classes of η-generalized vector variational-like inequalities is proved under suitable conditions. By using FKKM theorem, some new existence res...
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: Applied Mathematics
سال: 2010
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2010.11010