Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations

Autor: Waleed M. Alfaqih, Abdullah Aldurayhim, Mohammad Imdad, Atiya Perveen
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: AIMS Mathematics, Vol 5, Iss 6, Pp 6766-6781 (2020)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2020435/fulltext.html
Popis: In this paper, we introduce a new implicit function without any continuity requirement and utilize the same to prove unified relation-theoretic fixed point results. We adopt some examples to exhibit the utility of our implicit function. Furthermore, we use our results to derive some multidimensional fixed point results. Finally, as applications of our results, we study the existence and uniqueness of solution for a first-order ordinary differential equations.
Databáze: Directory of Open Access Journals