Best proximity point theorems for cyclic p-contractions with some consequences and applications

被引：40

作者：

Aslantas, Mustafa ^{[1
]}

Sahin, Hakan ^{[2
]}

Altun, Ishak ^{[3
]}

机构：

[1] Cankiri Karatekin Univ, Fac Sci, Dept Math, TR-18100 Cankiri, Turkey

[2] Amasya Univ, Fac Sci & Arts, Dept Math, TR-5220 Amasya, Turkey

[3] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2021年 / 26卷 / 01期

关键词：

best proximity point; cyclic p-contractions; fixed point; boundary value problem; EXISTENCE; PROPERTY;

D O I：

10.15388/namc.2021.26.21415

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space. Also, we provide some illustrative examples that compared our results with some earliest. Finally, by taking into account a fixed point consequence of our main result we give an existence and uniqueness result for a common solution of a system of second order boundary value problems.

引用

页码：113 / 129

页数：17

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