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Equilibrium existence theorems in KKM spaces

✍ Scribed by Sehie Park

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
632 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis

An abstract convex space satisfying the KKM principle is called a KKM space. This class of spaces contains G-convex spaces properly. In this work, we show that a large number of results in KKM theory on G-convex spaces also hold on KKM spaces. Examples of such results are theorems of Sperner and Alexandroff-Pasynkoff, Fan-Browder type fixed point theorems, Horvath type fixed point theorems, Ky Fan type minimax inequalities, variational inequalities, von Neumann type minimax theorems, Nash type equilibrium theorems, and Himmelberg type fixed point theorems.

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