A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations

被引：46
|
作者：
Radenovic, Stojan [1 ]
Dosenovic, Tatjana [2 ]
Lampert, Tatjana Aeksic [3 ]
Golubovic, Zorana [4 ]
机构：
[1] Dong Thap Univ, Teacher Educ, Fac Math & Informat Technol, Cao Lanch City, Dong Thap Provi, Vietnam
[2] Univ Novi Sad, Fac Technol, Novi Sad 21000, Serbia
[3] Fac Sci, Dept Math, Kragujevac 34000, Serbia
[4] Univ Belgrade, Fac Mech Engn, Beograd 11120, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷
关键词：
b-metric space; Cyclic map; Fixed point; Integral equation; THEOREMS;
D O I：
10.1016/j.amc.2015.09.089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtain some equivalences between cyclic contractions and non-cyclic contractions in the framework of It-metric spaces. Our results improve and complement several recent fixed point results for cyclic contractions in b-metric spaces established by George et al. (2015) and Nashine et al. (2014). Moreover, all the results are with much shorter proofs. In addition, an application to integral equations is given to illustrate the usability of the obtained results. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：155 / 164
页数：10
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