映象方程多解问题的某些研究

SOME STUDIES FOR THE PROBLEMS ON MULTIPLE SOLUTIONS OF MAPPING EQUATIONS

本文用fp-同伦方法，在一定的技巧和变换的配合下，在紧性条件支持下，研究了赋范线性空间中一类集值映象方程的多解问题．还给出所得理论结果的一个应用．

In this paper, under some techniques and transformations, the problems onmultiple solutions for the mapping equation in B space are studied, and the fP-homotopymethod in a sense is used. And an application of the theory results obtained in this paperis presented.