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.

引用

页数：20

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