臺灣博碩士論文加值系統

本論文，第一部份，我們在Q(X,Y)集族上建立k-集收縮映射之固定點定理。第二部份，我們把在凸集上KKM性質推廣至近似凸集上KKM *性質，接著我們建立這個集族的固定點定理。

In this paper, the first part, we establish a fixed point theorem for a k-set contraction map on the class Q(X,Y) , ( see [ 1 ] ) . The second part, we generalize the KKM property on a convex set [ 2 ] to he KKM* property on a nearly-convex set, and then we establish a fixed point theorem for this class.

CONTENTS

1. Introduction and preliminaries
2. Fixed point theorem for the class Q(X,Y)
3. Fixed point theorem for the class KKM*
4. Reference

[1] C .M . Chen, C. L. Yen , Fixed point theorems for the class Q(X,Y). International Journal of Mathematics and Mathematical Science (2005 ),In press.
[2] T. H. Chang , C.L.Yen , KKM property and fixed point theorems , J. Math. Ann.Appl. 203( 1996 ), 224-235.
[3] P. M. Fitzpatrick and W. V. Petryshyn, Fixed point theorems for multivalued noncompact inward mappings, J. Math. Anal. Appl 46(1974),756-767.
[4] T. Y. Wu, General vector quasi-variational inequalities on non-convex contraint regions, In press