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Abstract convexity and generalizations of Himmelberg type fixed-point theorems

✍ Scribed by Ping Ding Xie

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
495 KB
Volume
41
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we study a class KKM(X, Y) of set-valued mappings with KKM property in L-convex spaces introduced by Ben-E1-Mechaiekh et al. Several new Himmelberg type fixed-point theorem for mappings with KKM property are established in noncompact locally L-convex spaces. These theorems improve, unify, and generalize many known results in the literatures.

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