Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium

被引:0
|
作者
Aldwoah, Khaled [1 ]
Shah, Syed Khayyam [2 ]
Mustafa, Alaa [3 ]
Almalahi, Mohammed A. [4 ,5 ]
Hassan, Mohammed [6 ]
Alsulami, Amer [7 ]
机构
[1] Islamic Univ Madinah, Fac Sci, Dept Math, Madinah 42351, Saudi Arabia
[2] Univ Malakand, Dept Math, Chakdara 18800, Khyber Pakhtunk, Pakistan
[3] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia
[4] Hajjah Univ, Dept Math, Hajjah, Yemen
[5] Al Razi Univ, Coll Comp & Informat Technol, Dept Artificial Intelligence, Sanaa 12544, Yemen
[6] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
[7] Taif Univ, Turabah Univ Coll, Dept Math, Taif, Saudi Arabia
来源
BOUNDARY VALUE PROBLEMS | 2025年 / 2025卷 / 01期
关键词
F-contraction; Fixed point; b-metric space; Economic growth; Differential equation; Integral equations; F-CONTRACTIONS;
D O I
10.1186/s13661-025-01996-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The central objective of this paper is to study some rational-type fixed point results in the setting of b-metric spaces. Some definitions and concepts from the existing literature have been recalled in this direction. Utilizing the idea of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), novel fixed-point results are demonstrated via the iteration technique. Illustrative examples are presented to reinforce the authenticity and validity of the established results. Finally, the findings are employed to ensure the stability of the economic growth model and production-consumption equilibrium.
引用
收藏
页数:19
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