一类积分Altman型映象不动点定理及应用  

Common Fixed Point Theorems for a Class of Integral Altman Type Mapping with Applications

作　　者：聂辉 张树义[1] NIE Hui;ZHANG Shuyi(College of Mathematics and Physics,Bohai University,Jinzhou Liaoning 121013,China)

机构地区：[1]渤海大学数理学院

出　　处：《广西师范大学学报（自然科学版）》2020年第1期60-69,共10页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金(11371070);渤海大学研究生创新基金(YJC20170036)

摘　　要：本文在非阿基米德概率度量空间中研究积分Altman型映象不动点的存在性,利用概率度量空间映象对相容条件建立了积分Altman型映象的公共不动点定理;作为应用讨论了起源于动态规划的一类泛函方程组公共解的存在与唯一性,从而改进和推广了一些已知结果。The purpose of this paper is to study the existence of fixed point theorems for a class new of integral Altman type mapping. By using the compatible conditions of self-mapping pair in non-Archimedean Menger probabilistic metric spaces, common fixed point theorems for integral Altman type mapping are established in nonarchimedean Menger probabilistic metric spaces. Furthermore, the existence and uniqueness of solutions are also discussed for a class of systems of functional equations arising in dynamic programming, which improve and extend some known results.

关 键 词：非阿基米德Megner空间 积分Altman型映象 动态规划 泛函方程组 公共解 

分 类 号：O177.91[理学—数学]