On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations

On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations

In this work, we define new α−λ-rational contractive conditions and establish fixed-points results based on aforesaid contractive conditions for a mapping in extended Branciari b-distance spaces. We furnish two examples to justify the work. Further, we discuss results on weak well-posed property, we...

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Main Authors: Reena Jain, Hemant Kumar Nashine, Reny George, Zoran D. Mitrović
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9949147
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spelling doaj-828083f7e1674868b562b922b91b2aab2021-05-24T00:15:57ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9949147On Extended Branciari b-Distance Spaces and Applications to Fractional Differential EquationsReena Jain0Hemant Kumar Nashine1Reny George2Zoran D. Mitrović3Mathematics DivisionDepartment of MathematicsDepartment of MathematicsUniversity of Banja LukaIn this work, we define new α−λ-rational contractive conditions and establish fixed-points results based on aforesaid contractive conditions for a mapping in extended Branciari b-distance spaces. We furnish two examples to justify the work. Further, we discuss results on weak well-posed property, weak limit shadowing property, and generalized w-Ulam-Hyers stability in the underlying space. Finally, as an application of our main result, we obtain sufficient conditions for the existence of solutions of a nonlinear fractional differential equation with integral boundary conditions.http://dx.doi.org/10.1155/2021/9949147
collection DOAJ
language English
format Article
sources DOAJ
author Reena Jain
Hemant Kumar Nashine
Reny George
Zoran D. Mitrović
spellingShingle Reena Jain
Hemant Kumar Nashine
Reny George
Zoran D. Mitrović
On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations
Journal of Function Spaces
author_facet Reena Jain
Hemant Kumar Nashine
Reny George
Zoran D. Mitrović
author_sort Reena Jain
title On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations
title_short On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations
title_full On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations
title_fullStr On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations
title_full_unstemmed On Extended Branciari b-Distance Spaces and Applications to Fractional Differential Equations
title_sort on extended branciari b-distance spaces and applications to fractional differential equations
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this work, we define new α−λ-rational contractive conditions and establish fixed-points results based on aforesaid contractive conditions for a mapping in extended Branciari b-distance spaces. We furnish two examples to justify the work. Further, we discuss results on weak well-posed property, weak limit shadowing property, and generalized w-Ulam-Hyers stability in the underlying space. Finally, as an application of our main result, we obtain sufficient conditions for the existence of solutions of a nonlinear fractional differential equation with integral boundary conditions.
url http://dx.doi.org/10.1155/2021/9949147
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AT hemantkumarnashine onextendedbranciaribdistancespacesandapplicationstofractionaldifferentialequations
AT renygeorge onextendedbranciaribdistancespacesandapplicationstofractionaldifferentialequations
AT zorandmitrovic onextendedbranciaribdistancespacesandapplicationstofractionaldifferentialequations
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