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集值非扩张映象列的公共不动点及重合点
引用本文:张石生 黄南京. 集值非扩张映象列的公共不动点及重合点[J]. 四川大学学报(自然科学版), 1990, 27(2): 117-120
作者姓名:张石生 黄南京
作者单位:四川大学数学系(张石生),四川大学数学系(黄南京)
摘    要:在度量空间中分别引入H-凸结构及σ-凸结构,讨论具有这种凸结构的度量空间中集值非扩张映象列的公共不动点及重合点的存在性.所得结果是单值非扩张映象情形的推广和发展。

关 键 词:度量空间 集值映象 不动点 重合点

COMMON FIXED POINTS AND COINCIDENCE POINTS FOR A SEQUENCE OF SET-VALUED NONEXPANSIVE MAPPINGS
Zhang Shisheng Huang Nanjing. COMMON FIXED POINTS AND COINCIDENCE POINTS FOR A SEQUENCE OF SET-VALUED NONEXPANSIVE MAPPINGS[J]. Journal of Sichuan University (Natural Science Edition), 1990, 27(2): 117-120
Authors:Zhang Shisheng Huang Nanjing
Affiliation:Department of Mathematics
Abstract:The purpose of this paper is to introduce the concepts of H-convex construction and -convex construction and to study the existence of common fixed points and coincidence points for a sequence of set-valued non-expansive mappings in metric Spaces. The results presented in this paper are the generalization of the corresponding results of the single-valued non-expansive mappings.
Keywords:metric space   set-valued mapping   nonexpansive mapping   fixed point   coincidence point.  
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