Some New Results for (α, β)-Admissible Mappings in F-Metric Spaces with Applications to Integral Equations

被引：7
|
作者：
Faraji, Hamid [1 ]
Mirkov, Nikola [2 ]
Mitrovic, Zoran D. [3 ]
Ramaswamy, Rajagopalan [4 ]
Abdelnaby, Ola A. Ashour [4 ,5 ]
Radenovic, Stojan [6 ]
机构：
[1] Islamic Azad Univ, Coll Tech & Engn, Dept Math, Saveh Branch, Saveh 3149968111, Iran
[2] Univ Belgrade, Vinca Inst Nucl Sci, Natl Inst Republ Serbia, Mike Petrovica Alasa 12-14, Belgrade 11351, Serbia
[3] Univ Banja Luka, Fac Elect Engn, Patre 5, Banja Luka 78000, Bosnia & Herceg
[4] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Al Kharj 11942, Saudi Arabia
[5] Cairo Univ, Dept Math, Cairo 12613, Egypt
[6] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11000, Serbia
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 11期
关键词：
(alpha; beta)-admissible mapping; F-complete; fixed point; F-metric space; FIXED-POINT THEOREMS; ADMISSIBILITY TYPES; CONTRACTIONS;
D O I：
10.3390/sym14112429
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize (alpha, beta)-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.
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页数：13
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