3D Dynamic Programming Approach to Functional Equations with Applications

被引:2
|
作者
Asif, Awais [1 ]
Khan, Sami Ullah [2 ]
Abdeljawad, Thabet [3 ,4 ,5 ]
Arshad, Muahammad [1 ]
Ali, Amjad [1 ]
机构
[1] Int Islamic Univ Islamabad, Dept Math & Stat, Islamabad, Pakistan
[2] Gomal Univ, Dept Math, Dera Ismail Khan 29050, Kpk, Pakistan
[3] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung 40402, Taiwan
关键词
FIXED-POINT THEOREMS; F-CONTRACTIONS;
D O I
10.1155/2020/9485620
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article demonstrates the graphical existence of a single fixed point while imposing the contractive condition of Chatterjea typeF-contraction onF-metric space (briefly asF-MS). We present two examples that verify the validity of the results given in the paper. The paper further explains the subsistence of the fixed point even if the contractive condition is valid only for a closed ball inside the space rather than imposing it on the wholeF-MS. Moreover, the application of the mentioned results in finding a single solution of functional equations is described that is widely used in computer programming and optimization.
引用
收藏
页数:9
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