On Solution of Boundary Value Problems via Weak Contractions-Reference-Cited by-同舟云学术

On Solution of Boundary Value Problems via Weak Contractions

Published:2022-01-11 Issue: Volume:2022 Page:1-8
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Prasad Gopi¹^ORCID,Işik Hüseyin²^ORCID

Affiliation:

1. Department of Mathematics, H.N.B. Garhwal University, 246174, Srinagar Garhwal, India

2. Department of Engineering Science, Bandırma Onyedi Eylül University, 10200 Bandırma, Turkey

Abstract

The aim is to present a new relational variant of fixed point result that generalizes various fixed point results of the existing theme for contractive type mappings. As an application, we solve a periodic boundary value problem and validate all assertions with the help of nontrivial examples. We also highlight the close connections of the fixed point results equipped with a binary relation to that of graph related metrical fixed point results. Radically, these investigations unify the theory of metrical fixed points for contractive type mappings.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/6799205.pdf

Reference27 articles.

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