抽象凸空间中抉择定理的推广

A generalization of the alternative theoremin abstract convexity space

空间的凸性是不动点理论以及连续选择理论中的关键条件.本文对抽象凸结构的性质做了进一步的研究.讨论了抽象凸空间中的KKM方法,并应用KKM方法给出了抽象凸空间中的"抉择定理".主要结果改进和推广了相关文献中的结果.

The convexity of space plays a very important role in fixed point theory and continuous selection theory. The further properties of abstract convexity structures are discussed. And the KKM technique is presented, using this technique a new alternative theorem in abstract convexity space are established. The main results im prove and generalize the corresponding results in previous papers