局部凸拓扑向量空间中半可微K-Φ-压缩映象的不动点定理

FIXED POINT THEOREM FOR SEMIDIFFERENTIABLE K-Φ-CONTRACTIONS IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACE

本文在局部凸拓扑向量空间中对 K-Φ-压缩映象引入了半可微的概念,利用 K-Φ-压缩映象的不动点指数,得到了一个不动点定理.它推广了 Petryshen 在1988年的结果,也推广了李伟钢、丁协平、郭大钩和 Amann 等人的相应结果.

In this paper,semidifferentiable operator for K-Φ-contractions are introduced into locally convex topological vector space,and the authors obtain a new fixed point theorem,which is generalization of the results of Petryshen,Amman,Ding Xieping,Li Weigang,Guo Dajun and Yu Qingyu.