臺灣博碩士論文加值系統

於本篇論文中,我們在拓樸線型空間之可允許凸集合上得到函數族β的固
定點定理.同時,我們在函數族β及其相關的函數族中推得緊緻或緊縮函數
的固定點定理.因此,我們可導出β型函數的諸多性質,亦可確立一些推廣
型的半平衡點定理.最後,本研究結果以較簡易之證明延伸了許多眾所皆知
的著作.

In this paper , we obtain a fixed point theorem for the better
admissible class of multimaps defined on an admissible convex
subset of a topological vector space . At the same time , we
deduce fixed point theorems for compact or condensing multimaps
in the better admissible class and in some related classes of
multimaps . Consequently , we also derive many properties of the
better admissible type maps ; therefore , the generalized quasi-
equilibrium theorems are established . Finally , our results
extend a lot of known works with much simpler proofs .