Best proximity points for (?-?)-weak contractions and some applications

被引:12
作者
Fallahi, Kamal [1 ]
Rad, Ghasem Soleimani
Fulga, Andreea [2 ]
机构
[1] Payame Noor Univ, Dept Math, POB 19395-4697, Tehran, Iran
[2] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov, Romania
关键词
Best proximity point; Partially ordered metric space; Order proximal; Lebesgue integral; Lower semi-continuous; METRIC-SPACES; FIXED-POINTS; THEOREM;
D O I
10.2298/FIL2306835F
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.
引用
收藏
页码:1835 / 1842
页数:8
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