弱压缩多值映射的公共不动点定理  

The Common Fixed Point Theorem for Multivalued Weak Contractive Mappings

作　　者：任琛琛[1] 李璐 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2018年第1期16-18,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金重大课题(20143ACB21001)资助项目

摘　　要：在完备的度量空间中,利用泛函分析和集值映射的理论工具,研究了已有文献提出的一个问题并给出了正面回答,即建立了满足φ-弱压缩性质的2个多值映射的公共不动点定理,把公共不动点定理推广到了2个多值映射.In the complete metric space, a problem posed by the literature and a positive answer is given using the theoretical tods of functional analysis and set-valued mapping. The common fixed point theorem of two multivalued generalized φ -weak contractive mappings is established. This theorem is a generalization of the common fixed point theorem for two multi-valued maps.

关 键 词：多值映射 不动点定理 φ-弱压缩映射 

分 类 号：O177.91[理学—数学]