多值映象临界点的定理及应用

MULTI-VALUED MAPPING CRITICAL POINT THEOREM AND APPLICATON

本文用Fan,Ky不等式为依据,以连续单位分划的基本方法,讨论了多值映象临界点的存在定理,得到Hilbert空间上多值映象的不动点定理,进而推出对策论中的极大(小)定理和经济理论中的walras平衡价格定律。

This paper is based on the,Fan-ky inequality, and the basic metsod of continual partition of unity is used to disucss the exist theory of multi-Valued mapping critical point, At least it lead to Multi-Valued mapping fixed point theory on Hilbert Space. From this we can deduce the minnax theory in game theory and walras balanee cost theory in econimical theory.