Fixed Point Theory in ε-connected Orthogonal Metric Space

被引：17
|
作者：
Eshaghi, Madjid [1 ]
Habibi, Hasti [1 ]
机构：
[1] Semnan Univ, Dept Math, POB 35195-363, Semnan, Iran
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2019年 / 16卷 / 01期
关键词：
Fixed point; epsilon-connected; Orthogonal set; Solution; Metric space; Analytic function; SETS;
D O I：
10.22130/scma.2018.72368.289
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on epsilon-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some illustrating examples.
引用
收藏
页码：35 / 46
页数：12
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