Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces

Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces

We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called α-λ-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.

Bibliographic Details
Main Authors: Marwan Amin Kutbi, Wutiphol Sintunavarat
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/268230
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spelling doaj-87266283ffd44981acc5e61e73faf2e02020-11-24T23:22:42ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/268230268230Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric SpacesMarwan Amin Kutbi0Wutiphol Sintunavarat1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Rangsit Center, Pathum Thani 12121, ThailandWe study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called α-λ-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.http://dx.doi.org/10.1155/2014/268230
collection DOAJ
language English
format Article
sources DOAJ
author Marwan Amin Kutbi
Wutiphol Sintunavarat
spellingShingle Marwan Amin Kutbi
Wutiphol Sintunavarat
Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces
Abstract and Applied Analysis
author_facet Marwan Amin Kutbi
Wutiphol Sintunavarat
author_sort Marwan Amin Kutbi
title Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces
title_short Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces
title_full Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces
title_fullStr Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces
title_full_unstemmed Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces
title_sort ulam-hyers stability and well-posedness of fixed point problems for α-λ-contraction mapping in metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called α-λ-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.
url http://dx.doi.org/10.1155/2014/268230
work_keys_str_mv AT marwanaminkutbi ulamhyersstabilityandwellposednessoffixedpointproblemsforalcontractionmappinginmetricspaces
AT wutipholsintunavarat ulamhyersstabilityandwellposednessoffixedpointproblemsforalcontractionmappinginmetricspaces
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