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

Journal article

Authors/Editors

PARIWATE VARNAKOVIDA

Strategic Research Themes

Other (Strategic Research Themes)

Publication Details

Author list: Atiponrat W.; Varnakovida P.; Chanthorn P.; Suebcharoen T.; Charoensawan P.

Publisher: MDPI

Publication year: 2023

Volume number: 11

Issue number: 15

ISSN: 22277390

eISSN: 2227-7390

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85167580962&doi=10.3390%2fmath11153370&partnerID=40&md5=3c372f3ada4a856a7c4b1e4afa1263e0

Languages: English-Great Britain (EN-GB)

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Abstract

In our work, we offer a novel idea of contractions, namely an (Formula presented.) 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. ฉ 2023 by the authors.

Keywords

admissibility, Geraghty function