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.
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页码：151 / 160
页数：10
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