MATCHING THEOREMS AND SIMULTANEOUS RELATION PROBLEMS

Title & Authors
MATCHING THEOREMS AND SIMULTANEOUS RELATION PROBLEMS
Balaj, Mircea; Coroianu, Lucian;

Abstract
In this paper we give two matching theorems of Ky Fan type concerning open or closed coverings of nonempty convex sets in a topological vector space. One of them will permit us to put in evidence, when X and Y are convex sets in topological vector spaces, a new subclass of KKM(X, Y) different by any admissible class $\small{\mathfrak{u}_c}$(X, Y). For this class of set-valued mappings we establish a KKM-type theorem which will be then used for obtaining existence theorems for the solutions of two types of simultaneous relation problems.
Keywords
matching theorem;KKM theorem;KKM(X, Y);$\small{\mathfrak{U}_c}$(X, Y);variational relation;
Language
English
Cited by
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3.
Existence Theorems for a Variational Relation Problem, Numerical Functional Analysis and Optimization, 2016, 37, 4, 459
4.
Existence Criteria for the Solutions of Two Types of Variational Relation Problems, Journal of Optimization Theory and Applications, 2013, 156, 2, 232
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