On Solution of Boundary Value Problems via Weak Contractions

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 al...

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Bibliographic Details
Published in:Journal of function spaces Vol. 2022; pp. 1 - 8
Main Authors: Prasad, Gopi, Işik, Hüseyin
Format: Journal Article
Language:English
Published: New York Hindawi 2022
John Wiley & Sons, Inc
Wiley
Subjects:
Binary system
Boundary value problems
ISSN:2314-8896, 2314-8888
Online Access:Get full text
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Summary: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.
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ISSN:2314-8896
2314-8888
DOI:10.1155/2022/6799205