EXISTENCE THEOREMS FOR GENERALIZED VECTOR VARIATIONAL INEQUALITIES WITH PSEUDOMONOTONICITY AND THEIR APPLICATIONS
نویسندگان
چکیده
منابع مشابه
Vector 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 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 کاملGap 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 کاملψ-pseudomonotone generalized strong vector variational inequalities with application
In this paper, we establish an existence result of the solution for an generalized strong vector variational inequality already considered in the literature and as applications we obtain a new coincidence point theorem in Hilbert spaces.
متن کاملExistence Results for Generalized Vector Variational-like Inequalities
In this paper, we consider a vector version of Minty’s Lemma and obtain existence theorems of solutions for two kinds of vector variationallike inequalities. Mathematics Subject Classification: 49J40, 90C29
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: Taiwanese Journal of Mathematics
سال: 2008
ISSN: 1027-5487
DOI: 10.11650/twjm/1500602494