Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844295 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 10 Pages |
Abstract
In this paper we investigate the fixed point problem for condensing multimaps on locally G-convex spaces instead of the usual locally convex topological vector spaces. We show that every condensing closed self-multimap that has Î-convex values on a nonempty complete Î-convex subset of a locally G-convex space has a fixed point. Some fixed point results for condensing multimaps which have lower semicontinuous (l.s.c.) cores and applications to abstract economy are also presented.
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Authors
Young-Ye Huang, Tian-Yuan Kuo, Jyh-Chung Jeng,