Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces

We study the generalized Ulam-Hyers stability, the well-posedness, and the limit shadowing of the fixed point problem for new type of generalized contraction mapping, the so-called α-β-contraction mapping. Our results in this paper are generalized and unify several results in the literature as the r...

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Autor principal: Sintunavarat, Wutiphol
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3922007/
https://www.ncbi.nlm.nih.gov/pubmed/24592174
http://dx.doi.org/10.1155/2014/569174
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author Sintunavarat, Wutiphol
author_facet Sintunavarat, Wutiphol
author_sort Sintunavarat, Wutiphol
collection PubMed
description We study the generalized Ulam-Hyers stability, the well-posedness, and the limit shadowing of the fixed point problem for new type of generalized contraction mapping, the so-called α-β-contraction mapping. Our results in this paper are generalized and unify several results in the literature as the result of Geraghty (1973) and the Banach contraction principle.
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spelling pubmed-39220072014-03-03 Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces Sintunavarat, Wutiphol ScientificWorldJournal Research Article We study the generalized Ulam-Hyers stability, the well-posedness, and the limit shadowing of the fixed point problem for new type of generalized contraction mapping, the so-called α-β-contraction mapping. Our results in this paper are generalized and unify several results in the literature as the result of Geraghty (1973) and the Banach contraction principle. Hindawi Publishing Corporation 2014-01-23 /pmc/articles/PMC3922007/ /pubmed/24592174 http://dx.doi.org/10.1155/2014/569174 Text en Copyright © 2014 Wutiphol Sintunavarat. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Sintunavarat, Wutiphol
Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
title Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
title_full Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
title_fullStr Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
title_full_unstemmed Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
title_short Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
title_sort generalized ulam-hyers stability, well-posedness, and limit shadowing of fixed point problems for α-β-contraction mapping in metric spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3922007/
https://www.ncbi.nlm.nih.gov/pubmed/24592174
http://dx.doi.org/10.1155/2014/569174
work_keys_str_mv AT sintunavaratwutiphol generalizedulamhyersstabilitywellposednessandlimitshadowingoffixedpointproblemsforabcontractionmappinginmetricspaces

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