On best proximity points of interpolative proximal contractions

被引：16
|
作者：
Altun, Ishak [1 ,2 ]
Tasdemir, Aysenur [3 ]
机构：
[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Kirikkale Univ, Dept Math, Fac Sci & Arts, TR-71450 Yahsihan, Kirikkale, Turkey
来源：
QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 09期
关键词：
Primary; Secondary; Best proximity point; interpolative proximal contractions; fixed point; complete metric space; THEOREMS; EXTENSIONS; EXISTENCE;
D O I：
10.2989/16073606.2020.1785576
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ciric and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.
引用
收藏
页码：1233 / 1241
页数：9
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