Menger PGM-空间中弱相容映射对的公共不动点定理  

Common fixed point theorems for pairs of weakly compatible maps in Menger probabilistic G-metric spaces

作　　者：张倩雯[1] 谷峰[1] Zhang Qianwen;Gu Feng(Department of Mathematics,Hangzhou Normal University,Hangzhou 310036,China)

机构地区：[1]杭州师范大学数学系,浙江杭州310036

出　　处：《纯粹数学与应用数学》2018年第3期237-254,共18页Pure and Applied Mathematics

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

摘　　要：在Menger PGM-空间中,证明了三对弱相容映射对的一个新的公共不动点定理和几个推论,并给出了例子来验证新结果的有效性.本文结果拓展和推进了之前文献中的一些相关结果.In the framework of a Memger probabilistic G-metric spaces,we prove a new common fixed point theorem for three pair of weakly compatible mappings and several corollarys.We also provide illustrative examples in support of our new results.The results obtained in this paper extend and improve some well-known comparable results in the literature.

关 键 词：MENGER PGM空间 弱相容映射 H-型t-范数 公共不动点 

分 类 号：O177.91[理学—数学]