Approximate fixed point theorems for generalized T-contractions in metric spaces

被引：0

作者：

Raphael, Priya ^{[1
]}

Pulickakunnel, Shaini ^{[1
]}

机构：

[1] Sam Higginbottom Inst Agr Technol & Sci, Dept Math, Allahabad 211007, Uttar Pradesh, India

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2012年 / 57卷 / 04期

关键词：

epsilon-fixed point; approximate fixed point property; T-Banach contraction; T-Kannan contraction; T-Chatterjea contraction; T-Zamfirescu operators; T-almost contraction; metric space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the concept of T-asymptotically regular mapping and establish a lemma for epsilon-fixed points of two commuting mappings in metric spaces. This lemma is used for proving approximate fixed point theorems for various types of contraction mappings in the framework of metric spaces. Our results in this paper extends and improves upon, among others, the corresponding results of Berinde given in [2].

引用

页码：551 / 559

页数：9