Continuous selection theorem, coincidence theorem and intersection theorems concerning sets with H-convex sections

Journal of the Australian Mathematical Society

Xie-Ping Ding¹ 

关键词: 54 C 65;    54 H 25;    52 A 07;   

DOI  :  10.1017/S1446788700032833

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

A continuous selection and a coincidence theorem are proved in H-spaces which generalize the corresponding results of Ben-El-Mechaiekh-Deguire-Granas, Browder, Ko-Tan, Lassonde, Park, Simon and Takahashi to noncompact and/or nonconvex settings. By applying the two theorems, some intersection theorems concerning sets with H-convex sections are obtained which generalize the corresponding results of Fan, Lassonde and Shih-Tan to H-spaces. Some applications to minimax principle are given.

【 授权许可】

Unknown