广义集值映射不动点的推广  

Fixed Point Theorems for Set-valued Mappings

作　　者：鲁晓峰[1] 吴贤璇 LU Xiao-feng WU Xian-xuan(Guangdong University of Technology, School of Applied Mathematics, Guangzhou, Guangdong 510520)

机构地区：[1]广东工业大学应用数学学院,广州510520

出　　处：《湖南理工学院学报（自然科学版）》2016年第3期14-20,共7页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：国家自然科学基金资助项目(10871052)

摘　　要：引入似度量空间的概念,用上方下半连续方法证明了一类广义S.B.Nadler集值压缩映射在完备似度量空间中有不动点,并推广和改进了一些已知结果.In this paper, we introduce the concept of like-metric spaces and prove the set valued contractive mappings on complete like-metric space have a fixed point in a class of generalized S.B.Nadler using the method of lower semi-continuity from above, improve some well-known results.

关 键 词：似度量空间 集值映射 不动点 

分 类 号：O177.91[理学—数学]