Remarks on the fixed point problem of 2-metric spaces

Fixexd point theory and applications

Nguyen Van Dung¹  Nguyen Trung Hieu¹  Nguyen Thia Thanh Ly¹  Vo Duc Thinh¹ 

[1] Department of Mathematics, Dong Thap University, Dong Thap, Vietnam

关键词: Point Theorem;    Fixed Point Theorem;    Distinct Point;    Contraction Condition;    Unique Fixed Point;   

DOI  :  10.1186/1687-1812-2013-167

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove a fixed point theorem on a 2-metric space and show that the main results in Lahiri et al. (Taiwan. J. Math. 15:337-352, 2011) and Singh et al. (J. Adv. Math. Stud. 5:71-76, 2012) may be obtained easily from the axioms of a 2-metric space. Examples are given to validate the results.

【 授权许可】

CC BY