BEST PROXIMITY POINTS THEOREM IN b-METRIC SPACES ENDOWED WITH A GRAPH

被引：7

作者：

Fallahi, Kamal ^{[1
]}

Rad, Ghasem Soleimani ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-4697, Tehran, Iran

来源：

FIXED POINT THEORY | 2020年 / 21卷 / 02期

关键词：

b-metric space; best proximity point; P-property; G-proximal; CONTRACTIVE MAPPINGS;

D O I：

10.24193/fpt-ro.2020.2.33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the existence and uniqueness of best proximity point for Reich-type contraction on b-metric spaces endowed with a graph is established. These results are significant, since we replace the condition of continuity of mapping with the condition of G-continuity of mapping and we consider b-metric spaces endowed with a graph instead of metric spaces, under which can be unified some theorems of the existing literature.

引用

收藏

页码：465 / 474

页数：10

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