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.

引用

页数：16

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