Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems

Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems

In this work, we introduce the class of ordered weak ϕ-contractions in cone metric spaces over Banach algebras and prove some fixed point results for the mappings belonging to this new class. Our results generalize and extend some known fixed point results in cone metric spaces to the spaces equip...

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Main Authors: S.K. Malhotra, P.K. Bhargava, Satish Shukla
Format: Article
Language:English
Published: ATNAA 2019-06-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
cone metric space; ordered weak ϕ-contraction; fixed point.
Online Access:https://dergipark.org.tr/en/download/article-file/746068
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spelling doaj-3071feff19d747cba6cf78cd42680f792020-11-25T00:29:12ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482019-06-013210211010.31197/atnaa.518372Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theoremsS.K. Malhotra0P.K. Bhargava1Satish Shukla2Department of Mathematics, Govt. Science & Commerce College, Benazeer, Bhopal (M.P.) India.Department of Mathematics, Govt. Science & Commerce College, Benazeer, Bhopal (M.P.) India.Department of Mathematics, Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science, Gram Baroli, Sanwer Road, Indore (M.P.) 453331, India.In this work, we introduce the class of ordered weak ϕ-contractions in cone metric spaces over Banach algebras and prove some fixed point results for the mappings belonging to this new class. Our results generalize and extend some known fixed point results in cone metric spaces to the spaces equipped with a partial order. Some examples are given which illustrate the results proved herein.https://dergipark.org.tr/en/download/article-file/746068cone metric space; ordered weak ϕ-contraction; fixed point.
collection DOAJ
language English
format Article
sources DOAJ
author S.K. Malhotra
P.K. Bhargava
Satish Shukla
spellingShingle S.K. Malhotra
P.K. Bhargava
Satish Shukla
Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems
Advances in the Theory of Nonlinear Analysis and its Applications
cone metric space; ordered weak ϕ-contraction; fixed point.
author_facet S.K. Malhotra
P.K. Bhargava
Satish Shukla
author_sort S.K. Malhotra
title Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems
title_short Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems
title_full Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems
title_fullStr Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems
title_full_unstemmed Ordered weak φ-contractions in cone metric spaces over Banach algebras and fixed point theorems
title_sort ordered weak φ-contractions in cone metric spaces over banach algebras and fixed point theorems
publisher ATNAA
series Advances in the Theory of Nonlinear Analysis and its Applications
issn 2587-2648
2587-2648
publishDate 2019-06-01
description In this work, we introduce the class of ordered weak ϕ-contractions in cone metric spaces over Banach algebras and prove some fixed point results for the mappings belonging to this new class. Our results generalize and extend some known fixed point results in cone metric spaces to the spaces equipped with a partial order. Some examples are given which illustrate the results proved herein.
topic cone metric space; ordered weak ϕ-contraction; fixed point.
url https://dergipark.org.tr/en/download/article-file/746068
work_keys_str_mv AT skmalhotra orderedweakphcontractionsinconemetricspacesoverbanachalgebrasandfixedpointtheorems
AT pkbhargava orderedweakphcontractionsinconemetricspacesoverbanachalgebrasandfixedpointtheorems
AT satishshukla orderedweakphcontractionsinconemetricspacesoverbanachalgebrasandfixedpointtheorems
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