VECTOR $F$-COMPLEMENTARITY PROBLEMS WITH NONCONVEX PREFERENCES AND APPLICATIONS TO VECTOR OPTIMIZATION PROBLEMS
نویسندگان
چکیده
منابع مشابه
Vector F -complementarity Problems with Nonconvex Preferences and Applications to Vector Optimization Problems
In this paper, several classes of vector F -complementarity problems (in short, VF -CP) and vector F -variational inequalities (in short, VF -VI) with relations determined by nonconvex preferences are introduced in Banach spaces. Some characterizations of solution sets for (VF -CP) and (VF -VI) are also presented. Furthermore, the results obtained are applied to vector optimization problems.
متن کاملOn Nondifferentiable and Nonconvex Vector Optimization Problems
In this paper, we prove the equivalence among the Minty vector variational-like inequality, Stampacchia vector variational-like inequality, and a nondifferentiable and nonconvex vector optimization problem. By using a fixed-point theorem, we establish also an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiable and nonconvex funct...
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 کاملVector F-implicit complementarity problems in topological vector spaces
Recently, Huang and Li [J. Li, N.J. Huang, Vector F-implicit complementarity problems in Banach spaces, Appl. Math. Lett. 19 (2006) 464–471] introduced and studied a new class of vector F-implicit complementarity problems and vector F-implicit variational inequality problems in Banach spaces. In this work, we study this class in topological vector spaces and drive some existence theorems for th...
متن کاملGeneralized Vector Complementarity Problems With Corresponding Vector Variational Inequality Problems
In this paper, We introduce a new class of generalized vector complementarity problems and the corresponding generalized vector variational inequality problems which include many known complementarity problems and the corresponding vector variational inequality problems as special cases and establish the equivalence between those problems in Banach spaces. Furthermore, we obtain some new existe...
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: 2007
ISSN: 1027-5487
DOI: 10.11650/twjm/1500404758