F-Metric, F-Contraction and Common Fixed-Point Theorems with Applications

被引：21
|
作者：
Asif, Awais [1 ]
Nazam, Muhammad [2 ]
Arshad, Muhammad [1 ]
Kim, Sang Og [3 ]
机构：
[1] Int Islamic Univ, Dept Math & Stats, Islamabad 44000, Pakistan
[2] Allama Iqbal Open Univ, Dept Math, Islamabad 44000, Pakistan
[3] Hallym Univ, Sch Data Sci, Chunchon 24252, South Korea
来源：
MATHEMATICS | 2019年 / 7卷 / 07期
关键词：
F-metric; Reich-type F-contraction; Kannan-type F-contraction; dynamic programming; SPACES; MAPPINGS;
D O I：
10.3390/math7070586
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we noticed that the existence of fixed points of F-contractions, in F-metric space, can be ensured without the third condition (F3) imposed on the Wardowski function F:(0,infinity)-> R. We obtain fixed points as well as common fixed-point results for Reich-type F-contractions for both single and set-valued mappings in F-metric spaces. To show the usability of our results, we present two examples. Also, an application to functional equations is presented. The application shows the role of fixed-point theorems in dynamic programming, which is widely used in computer programming and optimization. Our results extend and generalize the previous results in the existing literature.
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页数：13
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