Common fixed point theorems for generalized cyclic contraction pairs in b-metric spaces with applications

被引：12
|
作者：
Yamaod, Oratai [1 ]
Sintunavarat, Wutiphol [1 ]
Cho, Yeol Je [2 ,3 ,4 ]
机构：
[1] Thammasat Univ, Rangsit Ctr, Fac Sci & Technol, Dept Math & Stat, Pathum Thani 12121, Thailand
[2] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
[4] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
基金：
新加坡国家研究基金会;
关键词：
b-metric spaces; common fixed points; cyclic contraction mappings; partially ordered set; MAPPINGS;
D O I：
10.1186/s13663-015-0409-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of generalized cyclic contraction pairs in b-metric spaces and establish some fixed point theorems for such pairs. Also, we give some examples to illustrate the main results which properly generalizes some results given by some authors in literature. Further, by using the main results, we prove some common fixed point results for generalized contraction pairs in partially ordered b-metric spaces. Our results generalize and improve the result of Shatanawi and Postolache (Fixed Point Theory Appl. 2013:60, 2013) and several well-known results given by some authors in metric and b-metric spaces.
引用
收藏
页数：18
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