Certain Fixed Point Theorems and Application to the Fractal Space  

作　　者：Ji You-qing 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》2015年第2期180-192,共13页数学研究通讯（英文版）

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

摘　　要：In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant k is replaced by some real- valued control function. For the applications to the fractal space, we obtain the fixed point theorem of the some generalized contraction in the space of fractals.In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant k is replaced by some real- valued control function. For the applications to the fractal space, we obtain the fixed point theorem of the some generalized contraction in the space of fractals.

关 键 词：fixed point generalized contraction Hausdorff distance FRACTAL topo-logical equivalence 

分 类 号：O177[理学—数学]