Cyclic Contractions and Related Fixed Point Theorems on G-Metric Spaces

被引：7
作者：
Bilgili, N. [1 ,2 ]
Erhan, I. M. [3 ]
Karapinar, E. [3 ]
Turkoglu, D. [1 ,2 ]
机构：
[1] Gazi Univ, Fac Sci, Dept Math, Ankara, Turkey
[2] Amasya Univ, Fac Sci & Arts, Dept Math, Amasya, Turkey
[3] Atilim Univ, Fac Sci & Arts, Dept Math, Ankara, Turkey
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2014年 / 8卷 / 04期
关键词：
fixed point; G-metric space; cyclic maps; cyclic contractions; PROXIMITY POINT;
D O I：
10.12785/amis/080407
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.
引用
收藏
页码：1541 / 1551
页数：11
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