弱A-proper映象及其广义拓扑度

Weakly A-proper Mappings and Its Generalized Degree of Topology

本文利用可分 Banach 空间中的 M 基,引进了一种弱逼近程序,以此定义了弱 A-proper 映象,并利用 Brouwer 度,对此类映象定义了广义拓扑度,讨论了这种度的若干重要性质.

In this paper the weakly approximative scheme is introduced in the separa-ble Banach space through M-base,by which a class of A-proper mappings is defined inthe weaker sense than that of Petryshyn.Meanwhile the generalized degree of topologyis extended to this mappings and several important properties are proved.