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Approximate fixed point theorems in Banach spaces with applications in game theory

✍ Scribed by Rodica Brânzei; Jacqueline Morgan; Vincenzo Scalzo; Stef Tijs

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
110 KB
Volume
285
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper some new approximate fixed point theorems for multifunctions in Banach spaces are presented and a method is developed indicating how to use approximate fixed point theorems in proving the existence of approximate Nash equilibria for non-cooperative games.

📜 SIMILAR VOLUMES

Fixed-point and random fixed-point theor
Fixed-point and random fixed-point theorems in cones of banach spaces
✍ D. O'Regan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 769 KB

agrees with F on &Y, we have that L -G has a zero in U. Otherwise, F is L-inessential in Kau(o, C; L), i.e., there exists G E Ksv (0, C; L) which agrees with F on dU and L -G is zero free on U. Two maps F, G E Ka~r(u,C; L) are homotopic in Kau(D, C; L) written F = G in Ka,y(D, C; L) if there is a co