模空间中若干公共不动点问题的研究  

Research on Several Common Fixed Point Problems in Modular Space

作　　者：李泽 魏超[1] LI Ze;WEI Chao(School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing Jiangsu 210023,China)

机构地区：[1]南京财经大学应用数学学院,江苏南京210023

出　　处：《淮阴师范学院学报（自然科学版）》2021年第1期10-16,共7页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：江苏省研究生科研与实践创新计划项目(KYCX17-1204)。

摘　　要：研究了模空间中多个映射及一类无限族自映射的公共不动点问题,利用凸模的性质、Δ_(2)条件等将度量空间中相关不动点定理进行推广,并进一步考虑了迭代程序的稳定性.In this paper,we consider the common fixed point problems in modular space.Related common fixed point theorems for several mappings and infinite groups of self mappings are generalized from the metric space under convex modular and Δ_(2)-condition.Furthermore,the stability of the iterative procedure was discussed.

关 键 词：模空间 公共不动点 迭代算法 

分 类 号：O175[理学—数学]