Cyclic contractions via auxiliary functions on G-metric spaces

被引：12
|
作者：
Bilgili, Nurcan [1 ]
Karapinar, Erdal [2 ]
机构：
[1] Gazi Univ, Inst Sci & Technol, Dept Math, TR-06500 Ankara, Turkey
[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
fixed point; G-metric space; cyclic maps; cyclic contractions; FIXED-POINT THEOREMS; G-MONOTONE PROPERTY; PROXIMITY POINTS; GENERALIZED CONTRACTIONS; MAPPINGS; MAPS;
D O I：
10.1186/1687-1812-2013-49
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings via auxiliary functions in the context of G-metric spaces, which were introduced by Zead and Sims. In particular, we extend, improve and generalize some earlier results in the literature on this topic.
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页数：16
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