Coupled Optimal Results with an Application to Nonlinear Integral Equations

Coupled Optimal Results with an Application to Nonlinear Integral Equations

In the present work, we consider the best proximal problem related to a coupled mapping, which we define using control functions and weak inequalities. As a consequence, we obtain some results on coupled fixed points. Our results generalize some recent results in the literature. Also, as an applicat...

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Main Authors: Pulak Konar, Sumit Chandok, Shrutinil Dutta, Manuel De la Sen
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Axioms
Subjects:
partially ordered set
control function
best proximity point
coupled best proximity point
integral equation
Online Access:https://www.mdpi.com/2075-1680/10/2/73
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spelling doaj-3d44072c89c245f2a4e40711a2f125402021-04-22T23:06:21ZengMDPI AGAxioms2075-16802021-04-0110737310.3390/axioms10020073Coupled Optimal Results with an Application to Nonlinear Integral EquationsPulak Konar0Sumit Chandok1Shrutinil Dutta2Manuel De la Sen3Department of Mathematics, Amity University, Kadampukur, 24PGS(N), Kolkata 700135, IndiaSchool of Mathematics, Thapar Institute of Engineering & Technology, Patiala 147004, IndiaDepartment of Mathematics, Amity University, Kadampukur, 24PGS(N), Kolkata 700135, IndiaInstitute of Research and Development of Processes IIDP, Campus of Leioa, University of the Basque Country, P.O. Box 48940 Leioa, SpainIn the present work, we consider the best proximal problem related to a coupled mapping, which we define using control functions and weak inequalities. As a consequence, we obtain some results on coupled fixed points. Our results generalize some recent results in the literature. Also, as an application of the results obtained, we present the solution to a system of a coupled Fredholm nonlinear integral equation. Our work is supported by several illustrations.https://www.mdpi.com/2075-1680/10/2/73partially ordered setcontrol functionbest proximity pointcoupled best proximity pointintegral equation
collection DOAJ
language English
format Article
sources DOAJ
author Pulak Konar
Sumit Chandok
Shrutinil Dutta
Manuel De la Sen
spellingShingle Pulak Konar
Sumit Chandok
Shrutinil Dutta
Manuel De la Sen
Coupled Optimal Results with an Application to Nonlinear Integral Equations
Axioms
partially ordered set
control function
best proximity point
coupled best proximity point
integral equation
author_facet Pulak Konar
Sumit Chandok
Shrutinil Dutta
Manuel De la Sen
author_sort Pulak Konar
title Coupled Optimal Results with an Application to Nonlinear Integral Equations
title_short Coupled Optimal Results with an Application to Nonlinear Integral Equations
title_full Coupled Optimal Results with an Application to Nonlinear Integral Equations
title_fullStr Coupled Optimal Results with an Application to Nonlinear Integral Equations
title_full_unstemmed Coupled Optimal Results with an Application to Nonlinear Integral Equations
title_sort coupled optimal results with an application to nonlinear integral equations
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2021-04-01
description In the present work, we consider the best proximal problem related to a coupled mapping, which we define using control functions and weak inequalities. As a consequence, we obtain some results on coupled fixed points. Our results generalize some recent results in the literature. Also, as an application of the results obtained, we present the solution to a system of a coupled Fredholm nonlinear integral equation. Our work is supported by several illustrations.
topic partially ordered set
control function
best proximity point
coupled best proximity point
integral equation
url https://www.mdpi.com/2075-1680/10/2/73
work_keys_str_mv AT pulakkonar coupledoptimalresultswithanapplicationtononlinearintegralequations
AT sumitchandok coupledoptimalresultswithanapplicationtononlinearintegralequations
AT shrutinildutta coupledoptimalresultswithanapplicationtononlinearintegralequations
AT manueldelasen coupledoptimalresultswithanapplicationtononlinearintegralequations
_version_ 1721513647202631680

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