ON A STUDY OF BEST PROXIMITY POINTS FOR R-PROXIMAL CONTRACTIONS IN GAUGE SPACES

被引：0

作者：

Ali, Muhammad Usman ^{[1
]}

Farheen, Misbah ^{[2
]}

Houmani, Hassan ^{[3
,4
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

[3] Univ Politehn Bucuresti, Dept Math & Comp Sci, Bucharest 060042, Romania

[4] Int Univ Beirut BIU, Beirut, Lebanon

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2020年 / 82卷 / 01期

关键词：

approximately compact set; simulation function; Geraghty's proximal contractions; R-function; R-proximal contraction of the first kind and second kind; best proximity point;

D O I：

暂无

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 best proximity points for non-self mappings satisfying the R-proximal contraction condition of the first or the second kind, in the setting of complete gauge spaces. The class of R-functions is a consistent one, and includes many other important classes, such as simulation functions or manageable functions. Moreover, a direct connection could be established between the classes of Geraghty functions and R-functions, respectively. Based on these connections, some classical best proximity points outcomes are recovered as corollaries.

引用

页码：151 / 160

页数：10

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