Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings

Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings

In this paper, we discuss about different types of α,β-admissible mappings and introduce some new α,β-contraction-type mappings under simulation function. Furthermore, we present the definition of S-metric-like space and its topological properties. Some fixed point theorems in this space are establi...

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Main Authors: Bulbul Khomdram, N. Priyobarta, Yumnam Rohen, Thounaojam Indubala
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6697739
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spelling doaj-1e50429bad5048a8a7dcaf25884ebe0b2021-02-15T12:53:05ZengHindawi LimitedJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66977396697739Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction MappingsBulbul Khomdram0N. Priyobarta1Yumnam Rohen2Thounaojam Indubala3Department of Mathematics, National Institute of Technology Manipur, Langol, Imphal 795004, IndiaDepartment of Mathematics, National Institute of Technology Manipur, Langol, Imphal 795004, IndiaDepartment of Mathematics, National Institute of Technology Manipur, Langol, Imphal 795004, IndiaDepartment of Mathematics, D.M. College of Arts, Dhanamanjuri University, Imphal 795004, IndiaIn this paper, we discuss about different types of α,β-admissible mappings and introduce some new α,β-contraction-type mappings under simulation function. Furthermore, we present the definition of S-metric-like space and its topological properties. Some fixed point theorems in this space are established, proved, and verified with examples.http://dx.doi.org/10.1155/2021/6697739
collection DOAJ
language English
format Article
sources DOAJ
author Bulbul Khomdram
N. Priyobarta
Yumnam Rohen
Thounaojam Indubala
spellingShingle Bulbul Khomdram
N. Priyobarta
Yumnam Rohen
Thounaojam Indubala
Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings
Journal of Mathematics
author_facet Bulbul Khomdram
N. Priyobarta
Yumnam Rohen
Thounaojam Indubala
author_sort Bulbul Khomdram
title Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings
title_short Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings
title_full Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings
title_fullStr Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings
title_full_unstemmed Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings
title_sort remarks on α,β-admissible mappings and fixed points under z-contraction mappings
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2021-01-01
description In this paper, we discuss about different types of α,β-admissible mappings and introduce some new α,β-contraction-type mappings under simulation function. Furthermore, we present the definition of S-metric-like space and its topological properties. Some fixed point theorems in this space are established, proved, and verified with examples.
url http://dx.doi.org/10.1155/2021/6697739
work_keys_str_mv AT bulbulkhomdram remarksonabadmissiblemappingsandfixedpointsunderzcontractionmappings
AT npriyobarta remarksonabadmissiblemappingsandfixedpointsunderzcontractionmappings
AT yumnamrohen remarksonabadmissiblemappingsandfixedpointsunderzcontractionmappings
AT thounaojamindubala remarksonabadmissiblemappingsandfixedpointsunderzcontractionmappings
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