Common Coupled Fixed Points of Compatible Pair of Maps Satisfying Condition (B) with a Rational Expression in Partially Ordered Metric Spaces

被引：0
|
作者：
Babu, G. V. R. [1 ]
Cho, Yeol Je [2 ]
Kameswari, M. V. R. [3 ]
机构：
[1] Andhra Univ, Dept Math, Visakhapatnam 530003, Andhra Prades, India
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] GIT Gitam Univ, Dept Engn Math, Visakhapatnam 530045, Andhra Prades, India
来源：
THAI JOURNAL OF MATHEMATICS | 2015年 / 13卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
partially ordered set; condition (B) with a rational expression; compatible; maps; w-compatible maps; mixed g-monotone property; coupled coincidence; points; coupled fixed points;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to prove the existence of common coupled coincidence points and common coupled fixed points for a pair of compatible maps satisfying condition (B) with a rational expression in partially ordered metric spaces. Further, we discuss the importance of rational expression in condition (B). Our results extend and improve the results of Luong and Thuan [N.L. Luoung, N.X. Thuan, Coupled fi xed point theorems in partially ordered metric spaces, Bull. Math. Anal. Appl. 2 (2010) 14-24], generalize the results of Lakshmikantham and Ciric [V. Lakshmikantham, Lj.B. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009) 4341 4349], and Saud and Abdullah [S.M. Alsulami, A. Alotaibi, Coupled cpoincidence point theorems for compatible mappings in partially ordered metric spaces, Bull. Math. Anal. Appl. 4 (2) (2012) 129-138].
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页码：561 / 579
页数：19
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