摘要
对定义在可缩空间上的零调值复合映象证明了某些新的重合点定理·作为应用某些最佳逼近定理和集值映象的重合点定理被给出·这些定理改进和推广了最近文献中许多已知结果
Some new coincidence theorems involving a new class of set_valued mappings containing composites of acyclic mappings defined on a contractible space are proved. As applications, some best approximation theorems and coincidence theorems for set_valued mappings are also given. A number of known results in recent literature are improved and generalized by the thorems in this paper.
出处
《应用数学和力学》
CSCD
北大核心
1999年第5期461-469,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
重合定理
可缩空间
零调复合映象
最佳逼近定理
coincidence theorems
best approximation
contractible space
composites of acyclic mappings