Common Fixed Point Theorems Using Property (E.A) in Complex-Valued Metric Spaces

被引:0
作者
Verma, R. K. [1 ]
Pathak, H. K. [2 ]
机构
[1] Govt CLC Coll Patan, Dept Math, Patan 491111, CG, India
[2] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, CG, India
来源
THAI JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 02期
关键词
Banach contraction principal; common fixed point; complex-valued metric space; contractive condition; metric space; property (E. A); partial order; weakly compatible mappings;
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 property (E. A) in a complex-valued metric space to prove some common fixed point results for two pairs of weakly compatible mappings, satisfying a contractive condition of 'max' type. Further, we prove a common fixed point theorem for two pairs of self-mappings satisfying the common limit property in the range of a mapping called (CLR) -property by Sintunavarat and Kumam [Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space, J. Appl. Math., Vol. 2011 (2011), Article ID 637958, 14 pages]. The related result generalizes various theorems of ordinary metric spaces.
引用
收藏
页码:347 / 355
页数:9
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