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抽象凸空间中的一类重合点定理 被引量:1

Some Coincidence Point Theorems on Abstract Convex Spaces
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摘要 在没有线性结构的L 凸空间的框架下,讨论了以往重合点问题中单值连续函数为集值的情形,证明了某些新的重合点定理和择一性定理并给出了对极小极大不等式和一类变分不等式的应用. Many authours have been working on coincidence points in local convex topological spaces and various other convex spaces. In this paper, we prove some new conincidence point theorems in L-convex spaces without linear structure which form a class containing many convex structure as spacial cases. Moreover we give some applications of the theorems to minimax inequalities and variational inequalities.
作者 李红梅
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 2004年第5期451-453,共3页 Journal of Sichuan Normal University(Natural Science)
基金 四川省学位委员会和四川省教育厅重点学科建设基金资助项目
关键词 L-凸空间 重合点 L-凸子集 L-convex space Coincidence L-convex subset
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