Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras

In this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension of fixed point theorems in nn-ary orthogonal...

Full description

Bibliographic Details
Main Authors: Nezhad Akbar Dehghan, Paunovic Marija, Savic Ana, Radenović Stojan
Format: Article
Language:English
Published: De Gruyter 2023-07-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2022-0200
_version_ 1797768149318238208
author Nezhad Akbar Dehghan
Paunovic Marija
Savic Ana
Radenović Stojan
author_facet Nezhad Akbar Dehghan
Paunovic Marija
Savic Ana
Radenović Stojan
author_sort Nezhad Akbar Dehghan
collection DOAJ
description In this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension of fixed point theorems in nn-ary orthogonal b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras.
first_indexed 2024-03-12T20:50:20Z
format Article
id doaj.art-9ef7af3582494203af86bbdb67d14920
institution Directory Open Access Journal
issn 2391-4661
language English
last_indexed 2024-03-12T20:50:20Z
publishDate 2023-07-01
publisher De Gruyter
record_format Article
series Demonstratio Mathematica
spelling doaj.art-9ef7af3582494203af86bbdb67d149202023-08-01T05:14:47ZengDe GruyterDemonstratio Mathematica2391-46612023-07-015619312110.1515/dema-2022-0200Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebrasNezhad Akbar Dehghan0Paunovic Marija1Savic Ana2Radenović Stojan3School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, IranFaculty of Hotel Management and Tourism, University of Kragujevac, 36210 Vrnjacka Banja, SerbiaSchool of Electrical and Computer Engineering of Applied Studies, Academy of Technical and Art Applied Studies, Vojvode Stepe 283, 11000 Belgrade, SerbiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, SerbiaIn this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension of fixed point theorems in nn-ary orthogonal b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras.https://doi.org/10.1515/dema-2022-0200b(α n,β n)-best approximationsb(α n,β n)-hypermetric spacesbn-metric spacefixed pointprimary 54h25secondary 47h1046b20
spellingShingle Nezhad Akbar Dehghan
Paunovic Marija
Savic Ana
Radenović Stojan
Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras
Demonstratio Mathematica
b(α n,β n)-best approximations
b(α n,β n)-hypermetric spaces
bn-metric space
fixed point
primary 54h25
secondary 47h10
46b20
title Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras
title_full Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras
title_fullStr Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras
title_full_unstemmed Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras
title_short Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras
title_sort some aspects of the n ary orthogonal and b αn βn best approximations of b αn βn hypermetric spaces over banach algebras
topic b(α n,β n)-best approximations
b(α n,β n)-hypermetric spaces
bn-metric space
fixed point
primary 54h25
secondary 47h10
46b20
url https://doi.org/10.1515/dema-2022-0200
work_keys_str_mv AT nezhadakbardehghan someaspectsofthenaryorthogonalandbanbnbestapproximationsofbanbnhypermetricspacesoverbanachalgebras
AT paunovicmarija someaspectsofthenaryorthogonalandbanbnbestapproximationsofbanbnhypermetricspacesoverbanachalgebras
AT savicana someaspectsofthenaryorthogonalandbanbnbestapproximationsofbanbnhypermetricspacesoverbanachalgebras
AT radenovicstojan someaspectsofthenaryorthogonalandbanbnbestapproximationsofbanbnhypermetricspacesoverbanachalgebras