Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S

Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S

In this paper, we present the concept of <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="normal">&#920;</mi> <mo>&#8722;</mo> <msub> <mrow> <mo>(</mo> <mi>&#963;...

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Main Authors: Vahid Parvaneh, Babak Mohammadi, Hassen Aydi, Aiman Mukheimer
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Mathematics
Subjects:
fixed point
generalized contraction
complete ordered <i>p</i>-metric space
Online Access:https://www.mdpi.com/2227-7390/7/5/481
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spelling doaj-78216e88979e4fb19ae22c053cc830eb2020-11-24T21:54:17ZengMDPI AGMathematics2227-73902019-05-017548110.3390/math7050481math7050481Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.SVahid Parvaneh0Babak Mohammadi1Hassen Aydi2Aiman Mukheimer3Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb 0834, IranDepartment of Mathematics, Marand Branch, Islamic Azad University, Marand, IranInstitut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, TunisiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaIn this paper, we present the concept of <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="normal">&#920;</mi> <mo>&#8722;</mo> <msub> <mrow> <mo>(</mo> <mi>&#963;</mi> <mo>,</mo> <mi>&#958;</mi> <mo>)</mo> </mrow> <mi mathvariant="normal">&#937;</mi> </msub> </mrow> </semantics> </math> </inline-formula>-contraction mappings and we nominate some related fixed point results in ordered <i>p</i>-metric spaces. Our results extend several famous ones in the literature. Some examples and an application are given in order to validate our results.https://www.mdpi.com/2227-7390/7/5/481fixed pointgeneralized contractioncomplete ordered <i>p</i>-metric space
collection DOAJ
language English
format Article
sources DOAJ
author Vahid Parvaneh
Babak Mohammadi
Hassen Aydi
Aiman Mukheimer
spellingShingle Vahid Parvaneh
Babak Mohammadi
Hassen Aydi
Aiman Mukheimer
Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S
Mathematics
fixed point
generalized contraction
complete ordered <i>p</i>-metric space
author_facet Vahid Parvaneh
Babak Mohammadi
Hassen Aydi
Aiman Mukheimer
author_sort Vahid Parvaneh
title Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S
title_short Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S
title_full Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S
title_fullStr Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S
title_full_unstemmed Generalized (<i>σ</i>,<i>ξ</i>)-Contractions and Related Fixed Point Results in a P.M.S
title_sort generalized (<i>σ</i>,<i>ξ</i>)-contractions and related fixed point results in a p.m.s
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-05-01
description In this paper, we present the concept of <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="normal">&#920;</mi> <mo>&#8722;</mo> <msub> <mrow> <mo>(</mo> <mi>&#963;</mi> <mo>,</mo> <mi>&#958;</mi> <mo>)</mo> </mrow> <mi mathvariant="normal">&#937;</mi> </msub> </mrow> </semantics> </math> </inline-formula>-contraction mappings and we nominate some related fixed point results in ordered <i>p</i>-metric spaces. Our results extend several famous ones in the literature. Some examples and an application are given in order to validate our results.
topic fixed point
generalized contraction
complete ordered <i>p</i>-metric space
url https://www.mdpi.com/2227-7390/7/5/481
work_keys_str_mv AT vahidparvaneh generalizedisiixicontractionsandrelatedfixedpointresultsinapms
AT babakmohammadi generalizedisiixicontractionsandrelatedfixedpointresultsinapms
AT hassenaydi generalizedisiixicontractionsandrelatedfixedpointresultsinapms
AT aimanmukheimer generalizedisiixicontractionsandrelatedfixedpointresultsinapms
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