Common Fixed Point Theorems for Novel Admissible Contraction with Applications in Fractional and Ordinary Differential Equations

被引：1
|
作者：
Atiponrat, Watchareepan [1 ,2 ]
Varnakovida, Pariwate [3 ,4 ]
Chanthorn, Pharunyou [1 ,2 ]
Suebcharoen, Teeranush [1 ,2 ]
Charoensawan, Phakdi [1 ,2 ]
机构：
[1] Chiang Mai Univ, Adv Res Ctr Computat Simulat, Chiang Mai 50200, Thailand
[2] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
[3] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand
[4] King Mongkuts Univ Technol Thonburi, Fac Sci, KMUTT Geospatial Engn & Innovat Ctr, Bangkok 10140, Thailand
来源：
MATHEMATICS | 2023年 / 11卷 / 15期
关键词：
Geraghty function; admissibility; contraction; common fixed point; CONVERGENCE;
D O I：
10.3390/math11153370
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In our work, we offer a novel idea of contractions, namely an (alpha,beta,gamma) P contraction, to prove the existence of a coincidence point and a common fixed point in complete metric spaces. This leads us to an extension of previous results in the literature. Furthermore, we applied our acquired results to prove the existence of a solution for ordinary and fractional differential equations with integral-type boundary conditions.
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页数：20
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