Fixed-disc results via simulation functions

被引：32
|
作者：
Ozgur, Nihal [1 ]
机构：
[1] Balikesir Univ, Fac Arts & Sci, Dept Math, Balikesir, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 06期
关键词：
Fixed disc; fixed circle; simulation function; metric space; NEURAL-NETWORKS; MULTISTABILITY;
D O I：
10.3906/mat-1812-44
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions such as completeness or compactness of the metric space or continuity of the self-mapping in our results. Taking only one geometric condition, we ensure the existence of a fixed disc of a new type contractive mapping.
引用
收藏
页码：2794 / 2805
页数：12
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