Fixed Point Theorems of the Iterated Function Systems  

作　　者：Ji You-qing Liu Zhi Ri Song-il 

机构地区：[1]School of Mathematics, Jilin University [2]Department of Mathematics, University of Science

出　　处：《Communications in Mathematical Research》2016年第2期142-150,共9页数学研究通讯（英文版）

基　　金：The NSF(11271150)of China;China Government Scholarship

摘　　要：In this paper, we present some fixed point theorems of iterated function systems consisting of α-ψ-contractive type mappings in Fractal space constituted by the compact subset of metric space and iterated function systems consisting of Banach contractive mappings in Fractal space constituted by the compact subset of generalized metric space, which is Mso extensively applied in topological dynamic system.In this paper, we present some fixed point theorems of iterated function systems consisting of α-ψ-contractive type mappings in Fractal space constituted by the compact subset of metric space and iterated function systems consisting of Banach contractive mappings in Fractal space constituted by the compact subset of generalized metric space, which is Mso extensively applied in topological dynamic system.

关 键 词：fixed point α-ψ-contractive mapping iterated function system gener-alized metric space 

分 类 号：O177.91[理学—数学] TP391.41[理学—基础数学]