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

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

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...

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Bibliographic Details
Main Authors: Waleed M. Alfaqih, Abdullah Aldurayhim, Mohammad Imdad, Atiya Perveen
Format: Article
Language:English
Published: AIMS Press 2020-09-01
Series:AIMS Mathematics
Subjects:
fixed point
multidimensional fixed point
implicit function
binary relation
ordinary differential equations
Online Access:https://www.aimspress.com/article/10.3934/math.2020435/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2020435/fulltext.html

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