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

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

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

页数：9

共 50 条

[1] On the Dynamic Programming Approach for the 3D Navier–Stokes Equations
Luigi Manca
Applied Mathematics and Optimization, 2008, 57 : 329 - 348
[2] On the dynamic programming approach for the 3D Navier-Stokes equations
Manca, Luigi
APPLIED MATHEMATICS AND OPTIMIZATION, 2008, 57 (03): : 329 - 348
[3] Cyclic admissible contraction and applications to functional equations in dynamic programming
Isik, Huseyin
Samet, Bessem
Vetro, Calogero
FIXED POINT THEORY AND APPLICATIONS, 2015,
[4] Cyclic admissible contraction and applications to functional equations in dynamic programming
Huseyin Isik
Bessem Samet
Calogero Vetro
Fixed Point Theory and Applications, 2015
[5] An elementary approach to the inviscid limits for the 3D Navier–Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations
Luigi C. Berselli
Stefano Spirito
Nonlinear Differential Equations and Applications NoDEA, 2014, 21 : 149 - 166
[6] Fuel saving-oriented 3D dynamic programming for weather routing applications
Zaccone, R.
Figari, M.
Altosole, M.
Ottaviani, E.
MARITIME TECHNOLOGY AND ENGINEERING 3, VOLS 1-2, 2016, : 183 - 189
[7] An elementary approach to the inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations
Berselli, Luigi C.
Spirito, Stefano
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (02): : 149 - 166
[8] On solvability of functional equations and system of functional equations arising in dynamic programming
Liu, Z
Agarwal, RP
Kang, SM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) : 111 - 130
[9] 3D printing with a 3D printed digital material filament for programming functional gradients
Ahn, Sang-Joon
Lee, Howon
Cho, Kyu-Jin
NATURE COMMUNICATIONS, 2024, 15 (01)
[10] SOME FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING
BELLMAN, R
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1953, 39 (10) : 1077 - 1082

← 1 2 3 4 5 →