Nonempty intersection theorems minimax theorems with applications in generalized interval spaces
نویسندگان
چکیده
منابع مشابه
Nonempty Intersection Theorems Minimax Theorems with Applications in Generalized Interval Spaces
We establish some new topological types of nonempty intersection theorems in more general topological spaces without linear structure. As applications, we utilize results to study the minimax problems, coincidence problems, and economy equilibrium problems in generalized interval spaces and some new results are obtained. 2000 Mathematics Subject Classification. 49K35, 54D20, 54D05, 54H25.
متن کاملIntersection Theorems for Vector Spaces
[ n] qni_ 1 = IT / i . t q O""i<, q -1 Since we always refer to the same K, we will write this simply as [7]. If A, Bare subspaces of V, A < B, then B/ A denotes the factor space of B by A. If An B = (O)-the zero-space, then AB / A is the canonical projection of B into V / A. Suppose 1 ~ k < nand !¥ = {Fl> .. . , Fm} is a family of distinct k-dimensional subspaces of V. For 0 ~ s ~ k, let !¥(s)...
متن کاملMinimax Theorems in Probabilistic Metric Spaces
The minimax problem is of fundamental importance in nonlinear analysis and, especially, plays an important role in mathematical economics and game theory. The purpose of this paper is to obtain some minimax theorems for mixed lowerupper semi-continuous functions in probabilistic metric spaces which extend the minimax theorems of von Neumann types [1, 3, 4, 5, 6, 8, 10, 11, 12]. As applications,...
متن کاملGeneralized Minimax Theorems On Nonconvex Domains∗
In this paper, the author considers generalized minimax theorems for vector set-valued mappings using Fan-KKM theorem on nonconvex domains of Hausdorff topological vector spaces.
متن کاملMinimax Theorems
We suppose that X and Y are nonempty sets and f : X × Y → R. A minimax theorem is a theorem that asserts that, under certain conditions , inf Y sup X f = sup X inf Y f, that is to say, inf y∈Y sup x∈X f (x, y) = sup x∈X inf y∈Y f (x, y). The purpose of this article is to give the reader the flavor of the different kind of mini-max theorems, and of the techniques that have been used to prove the...
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: International Journal of Mathematics and Mathematical Sciences
سال: 2001
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171201006275