منابع مشابه
Minimax 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 کاملA minimax inequality and its applications to fixed point theorems in CAT(0) spaces
* Correspondence: [email protected] Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran Abstract In this paper, a CAT(0) version of famous Fan’s minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces. 2000 Mathematics Subject Classifi...
متن کاملTopological Minimax Theorems: Old and New
We review and extend the main topological minimax theorems based on connectedness that have been developed over the years since the pioneering paper of Wu (1959). It is shown in particular that the topological minimax theorems of Geraghty and Lin (1984) are essentially a rediscovery of much earlier results of Tuy (1974), while the latter can be derived from a minimax theorem recently developed ...
متن کاملAlternative Theorems for Quadratic Inequality Systems and Global Quadratic Optimization
We establish alternative theorems for quadratic inequality systems. Consequently, we obtain Lagrange multiplier characterizations of global optimality for classes of non-convex quadratic optimization problems. We present a generalization of Dine’s theorem to a system of two homogeneous quadratic functions with a regular cone. The class of regular cones are cones K for which (K∪−K) is a subspace...
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.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1984
ISSN: 0022-247X
DOI: 10.1016/0022-247x(84)90172-0