Fixed and periodic points of generalized contractions in metric spaces

被引：51
|
作者：
Abbas, Mujahid [1 ]
Ali, Basit [2 ]
Romaguera, Salvador [3 ]
机构：
[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
[2] Lahore Univ Management Sci, Syed Babar Ali Sch Sci & Engn, Dept Math, Lahore 54792, Pakistan
[3] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
F-contraction; property P; property Q; common fixed point; PARTIALLY ORDERED SETS; THEOREMS; MAPPINGS; MAPS;
D O I：
10.1186/1687-1812-2013-243
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Wardowski (Fixed Point Theory Appl. 2012: 94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalizes the Banach contraction principle. The aim of this paper is to introduce F-contractions with respect to a self-mapping on a metric space and to obtain common fixed point results. Examples are provided to support results and concepts presented herein. As an application of our results, periodic point results for the F-contractions in metric spaces are proved.
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页数：11
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