广义度量空间中次相容映象对的几个新的公共不动点定理  

Common Fixed Point Theorem for Pairs of Subcompatible Maps in G-metric Spaces

作　　者：张倩雯 谷峰[1] ZHANG Qianwen;GU Feng(School of Science, Institute of Applied Mathematics, Hangzhou Normal University, Hangzhou 31003G, China)

机构地区：[1]杭州师范大学理学院,杭州师范大学应用数学研究所,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2018年第2期177-182,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11071169);浙江省自然科学基金项目(Y6110287)

摘　　要：在G-度量空间中,引入了映象对次相容的概念,并在映象对次相容和相对连续的条件下,证明了几个新的公共不动点定理.本文结果拓展和推进了之前文献中一些相关结果.In the framework of G-metric space,the notion of mapping pair subcompatibility was introduced,some new fixed point theorem were proved in the condition of mapping pair subcompatible and reciprocally continuous.The results extended and improved some well-known comparable results in the literatures.

关 键 词：G-度量空间 相容 次相容 相对连续 次序列连续 公共不动点 

分 类 号：O177.91[理学—数学]