An intersection theorem in L-convex spaces with applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:312

Article

Lu, HS ; Tang, DS

关键词: intersection theorem;    fixed point;    maximal element;    coincidence theorem;    minimax inequality;    L-quasiconcave (quasiconvex);    transfer compactly closed-valued (open-valued);   

DOI  :  10.1016/j.jmaa.2005.03.085

来源: Elsevier

【 摘 要 】

A new intersection theorem is obtained in L-convex spaces without linear structure. As its applications, a fixed point theorem, a maximal element theorem, a coincidence theorem, some new minimax inequalities and a saddle point theorem are given in L-convex spaces. Our results generalize many known theorems in the literature. (c) 2005 Published by Elsevier Inc.

【 授权许可】

Free