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广义KKM定理及其应用
引用本文:沈愉 于再华. 广义KKM定理及其应用[J]. 北方工业大学学报, 1990, 2(1): 1-8
作者姓名:沈愉 于再华
作者单位:北京工业大学基础科学部(沈愉,李宝秀),兰州大学(于再华)
摘    要:本文陈述了KKM定理进一步的推广形式,并且给出了广义变分不等式存在解的充分条件.同时指出有关空间紧性与有关映象凸性的假设是可以放宽的.

关 键 词:广义KMM定理 广义 变分不等式 H-凸

THE GENERALIZED KKM THEOREM AND ITS APPLICATIONS
Shen Yu Li Baoxju Yu Zaihua. THE GENERALIZED KKM THEOREM AND ITS APPLICATIONS[J]. Journal of North China University of Technology, 1990, 2(1): 1-8
Authors:Shen Yu Li Baoxju Yu Zaihua
Affiliation:Shen Yu Li Baoxju Yu Zaihua(Department of Fundamental Sciences ) (Lanzhou University)
Abstract:In this paper, some further generalizations of KKMtheorem are stated , and sufficient conditions for solving generalized variational inequalities are given, with the conclusion that assumptions on the compactness on space and convexity on mappings are relaxd.
Keywords:H-space  H-convex  H-compact   H-KKM mapping   H-strict quasiconvex mapping
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