A best proximity point theorem for special generalized proximal β-quasi contractive mappings
Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.
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2019
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oai:doaj.org-article:f1af3d8301eb4ff3bafce448dc54cdf92021-12-02T12:29:06ZA best proximity point theorem for special generalized proximal β-quasi contractive mappings10.1186/s13663-019-0667-21687-1812https://doaj.org/article/f1af3d8301eb4ff3bafce448dc54cdf92019-12-01T00:00:00Zhttps://doi.org/10.1186/s13663-019-0667-2https://doaj.org/toc/1687-1812Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.M. Iadh AyariM. M. M. JaradatZ. MustafaSpringerOpenarticleBest proximity pointsSpecial generalized proximal β-quasi contractive mappingsApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2019, Iss 1, Pp 1-10 (2019) |
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Best proximity points Special generalized proximal β-quasi contractive mappings Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 |
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Best proximity points Special generalized proximal β-quasi contractive mappings Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 M. Iadh Ayari M. M. M. Jaradat Z. Mustafa A best proximity point theorem for special generalized proximal β-quasi contractive mappings |
description |
Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived. |
format |
article |
author |
M. Iadh Ayari M. M. M. Jaradat Z. Mustafa |
author_facet |
M. Iadh Ayari M. M. M. Jaradat Z. Mustafa |
author_sort |
M. Iadh Ayari |
title |
A best proximity point theorem for special generalized proximal β-quasi contractive mappings |
title_short |
A best proximity point theorem for special generalized proximal β-quasi contractive mappings |
title_full |
A best proximity point theorem for special generalized proximal β-quasi contractive mappings |
title_fullStr |
A best proximity point theorem for special generalized proximal β-quasi contractive mappings |
title_full_unstemmed |
A best proximity point theorem for special generalized proximal β-quasi contractive mappings |
title_sort |
best proximity point theorem for special generalized proximal β-quasi contractive mappings |
publisher |
SpringerOpen |
publishDate |
2019 |
url |
https://doaj.org/article/f1af3d8301eb4ff3bafce448dc54cdf9 |
work_keys_str_mv |
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_version_ |
1718394489850036224 |