Generalized <i>F</i>-iterated function systems on product of metric spaces

作     者：Secelean, Nicolae-Adrian 

作者机构：Lucian Blaga Univ Sibiu Dept Math & Informat Fac Sci Sibiu Romania 

出 版 物：《JOURNAL OF FIXED POINT THEORY AND APPLICATIONS》 (不动点理论与应用杂志)

年 卷 期：2015年第17卷第3期

页      面：575-595页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：F-contraction generalized F-contraction generalized iterated function system attractor Hausdorff-Pompeiu metric fixed point 

摘      要：In this paper, we start from an F-contraction defined on a metric space X into itself, introduced by Wardowski [Fixed Point Theory Appl. 2012 (2012), doi:10.1186/1687-1812-2012-94], and extend it to the case of mappings defined on the space X (I) into X endowed with the supremum metric, where I is a set of positive integers. Next, we consider the generalized iterated function systems composed of F-contractions on X (I) improving some fixed point results from the classical Hutchinson-Barnsley theory of iterated function systems. Some illustrative examples are given.