Altman定理的推广与改进

Generalizations and Improvements over the Altman's Theorem

该文用拓扑度理论推广了Altman关于全连续算子的一个不动点定理,建立了一个推广定理,并由此定理将Altman定理中全连续算于A的条件||Ax－x||(?)≥||Ax||(?)－||x||(?)由a=2改进为a>1.

Abstract:In this paper using theory of topological degree,some generalizations of Altman's fixed point theorems for compeletly continuous operators are obtained. Firstly,we set up the so-called theorem of generalization, then improve the condition