Gap functions and existence of solutions to generalized vector variational inequalities
نویسندگان
چکیده
منابع مشابه
Gap Functions and Existence Results for Generalized Vector Variational Inequalities
In this paper, the gap function for a new class of generalized vector variational inequalities with point-to-set mappings (for short, GVVI) is introduced and the necessary and sufficient conditions for the GVVI are established. Furthermore, under certain pseudomonotonicity condition and hemicontinuity condition, we obtain the existence theorems for the GVVI. The results presented in this paper ...
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 کاملExistence of solutions for generalized implicit vector variational-like inequalities
In this paper, we introduce a new class of generalized implicit vector variational-like inequalities in Hausdorff topological vector spaces and Banach spaces which contain implicit vector equilibrium problems, implicit vector variational inequalities and implicit vector complementarity problems as special cases. We derive some new results by using the KKM–Fan theorem, under compact and noncompa...
متن کاملVector Optimization Problems and Generalized Vector Variational-Like Inequalities
In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of limiting subdifferential are studied. Moreover, some relationships between the vector vari...
متن کاملOn the existence of solutions to generalized vector variational-like inequalities in Banach spaces1
In this paper, we introduce and study a class of generalized (weak) vector variational-like inequalities and show the existence of solutions to them by Brouwer’s fixed point theorem and Fan’s lemma.
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 Letters
سال: 2005
ISSN: 0893-9659
DOI: 10.1016/j.aml.2004.06.029