New fixed point results in quasi-metric spaces and applications in fractals theory

被引：22

作者：

Secelean, Nicolae Adrian ^{[1
]}

Mathew, Sunil ^{[2
]}

Wardowski, Dariusz ^{[3
]}

机构：

[1] Lucian Blaga Univ Sibiu, Dept Math & Comp Sci, Sibiu, Romania

[2] Natl Inst Technol Calicut, Dept Math, Calicut, Kerala, India

[3] Univ Lodz, Dept Nonlinear Anal, Fac Math & Comp Sci, Lodz, Poland

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Quasi-metric space; Forward (backward) F-contraction; Picard operator; Iterated function system; Fractals;

D O I：

10.1186/s13662-019-2119-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some fixed point theorems for F-contractions in the framework of quasi-metric spaces generalizing and improving several similar results in metric spaces. At the same time, we consider iterated function systems consisting of F-contractions on quasi-metric spaces, and we give some sufficient conditions for the existence and uniqueness of their attractor which is, generally, a fractal. Some illustrative examples are provided.

引用

页数：23

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