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Essential components of the set of weakly Pareto-Nash equilibrium points

โœ Scribed by H. Yang; J. Yu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
685 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, we first give a generalization of Ky Fan's inequality to vector-valued functions.

We prove that, for every vector-valued function (satisfying some continuity and convexity conditions), there exists at least one essential component of the set of its Ky Fan's points. As applications, we show that, for every multiobjective game (satisfying some continuity and convexity conditions), there exists at least one essential component of the set of its weakly Pareto-Nash equilibrium points.

๐Ÿ“œ SIMILAR VOLUMES

The essential components of coincident p
The essential components of coincident points for weakly inward and outward set-valued mappings
โœ G. Isac; G.X.-Z. Yuan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 402 KB

In this paper, by the concept of essential components of coincident points for set-valued mappings, we study the existence of essential components of both coincident and fixed points for nonself upper semicontinuous set-valued mappings in normed spaces. These results include corresponding results in