Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces

Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces

In this paper, we study an iteration process introduced by Thakur et al. for Suzuki mappings in Banach spaces, in the new context of modular vector spaces. We establish existence results for a more recent version of Suzuki generalized non-expansive mappings. The stability and data dependence of the...

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Main Authors: Wissam Kassab, Teodor Ţurcanu
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Mathematics
Subjects:
modular vector space
iterative process
fixed point
stability
data dependence
Online Access:https://www.mdpi.com/2227-7390/7/5/390
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spelling doaj-9f75d9fd0bd649b194772fa56cf2a1452020-11-25T01:19:21ZengMDPI AGMathematics2227-73902019-04-017539010.3390/math7050390math7050390Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector SpacesWissam Kassab0Teodor Ţurcanu1Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, RomaniaDepartment of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, RomaniaIn this paper, we study an iteration process introduced by Thakur et al. for Suzuki mappings in Banach spaces, in the new context of modular vector spaces. We establish existence results for a more recent version of Suzuki generalized non-expansive mappings. The stability and data dependence of the scheme for <inline-formula> <math display="inline"> <semantics> <mi>&#961;</mi> </semantics> </math> </inline-formula>-contractions is studied as well.https://www.mdpi.com/2227-7390/7/5/390modular vector spaceiterative processfixed pointstabilitydata dependence
collection DOAJ
language English
format Article
sources DOAJ
author Wissam Kassab
Teodor Ţurcanu
spellingShingle Wissam Kassab
Teodor Ţurcanu
Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces
Mathematics
modular vector space
iterative process
fixed point
stability
data dependence
author_facet Wissam Kassab
Teodor Ţurcanu
author_sort Wissam Kassab
title Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces
title_short Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces
title_full Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces
title_fullStr Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces
title_full_unstemmed Numerical Reckoning Fixed Points of (<i>ρE</i>)-Type Mappings in Modular Vector Spaces
title_sort numerical reckoning fixed points of (<i>ρe</i>)-type mappings in modular vector spaces
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-04-01
description In this paper, we study an iteration process introduced by Thakur et al. for Suzuki mappings in Banach spaces, in the new context of modular vector spaces. We establish existence results for a more recent version of Suzuki generalized non-expansive mappings. The stability and data dependence of the scheme for <inline-formula> <math display="inline"> <semantics> <mi>&#961;</mi> </semantics> </math> </inline-formula>-contractions is studied as well.
topic modular vector space
iterative process
fixed point
stability
data dependence
url https://www.mdpi.com/2227-7390/7/5/390
work_keys_str_mv AT wissamkassab numericalreckoningfixedpointsofireitypemappingsinmodularvectorspaces
AT teodorturcanu numericalreckoningfixedpointsofireitypemappingsinmodularvectorspaces
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