全连续弱内向映象的不动点指数及多重不动点定理

FIXED POINT INDEX AND MULTIPLE FIXED POINT THEOREM FOR WEAKLY INWXRD MAPS

本文通过研究与全连续弱内向映象相应的Banach空间中凸闭集上常微分方程解的性质，定义了有界凸闭集上局部Lip.全连续弱内向映象的不动点指数并利用它给出了一个弱内向映象的三解定理．

By investigating the corresponding ODEs in Banach spaces of the completelycontinuous weakly inward maps, we give a fixed point index theory for locally Lip. completelycontinuous and weakly inward maps defined on a closed bounded convex set. Finallyl a threefixed point theorem about these maps is given.