A new approach to G-metric and related fixed point theorems

被引:20
作者
Asadi, Mehdi [1 ]
Karapinar, Erdal [2 ]
Salimi, Peyman [3 ]
机构
[1] Islamic Azad Univ, Zanjan Branch, Dept Math, Zanjan 4515658145, Iran
[2] Atilim Univ, TR-06836 Ankara, Turkey
[3] Islamic Azad Univ, Young Researchers & Elite Club, Rasht Branch, Rasht, Iran
关键词
CONTRACTIVE-TYPE MAPPINGS; KEELER TYPE CONTRACTIONS; G-MONOTONE PROPERTY; SPACES;
D O I
10.1186/1029-242X-2013-454
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Very recently, Samet et al. and Jleli and Samet reported that most of fixed point results in the context of G-metric space, defined by Sims and Zead, can be derived from the usual fixed point theorems on the usual metric space. In this paper, we state and prove some fixed point theorems in the framework of G-metric space that cannot be obtained from the existence results in the context of associated metric space.
引用
收藏
页数:14
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