概率度量空间中调和映象对的公共不动点定理  

Common Fixed Point Theorems for Harmonic Mapping Pairs in Probabilistic Metric Spaces

作　　者：张树义[1] 张芯语 ZHANG Shuyi;ZHANG Xinyu(College of Mathematics and Physics,Bohai University,Jinzhou 121013 China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《西华大学学报（自然科学版）》2021年第2期103-109,共7页Journal of Xihua University:Natural Science Edition

基　　金：国家自然科学基金(11371070)。

摘　　要：在非阿基米德Menger概率度量空间中引入集值映象与单值映象对的调和概念,利用概率度量空间调和映象对的概念研究一类积分型调和映象公共不动点的存在性,建立了这类调和映象对的公共不动点定理,进一步讨论了这类积分型调和映象的随机不动点,从而改进和推广了一些已知结果。In this paper,we introduce the harmonic concepts of set-valued mappings and single-valued mappings in non-Archimedes Menger probabilistic metric spaces.By using the concepts of harmonic mapping pairs in probabilistic metric spaces,we studied the existence of common fixed points for a class of integral type harmonic mappings.And the common fixed point theorems for this kind of harmonic mapping pairs were established,and the random fixed points of these integral type harmonic mappings were further discussed.Therefore,some known results are improved and generalized.

关 键 词：非阿基米德Megner概率度量空间 调和映象对 公共不动点 随机不动点 

分 类 号：O177.91[理学—数学]