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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/268230 |
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| _version_ | 1832550224696967168 |
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| author | Marwan Amin Kutbi Wutiphol Sintunavarat |
| author_facet | Marwan Amin Kutbi Wutiphol Sintunavarat |
| author_sort | Marwan Amin Kutbi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-87266283ffd44981acc5e61e73faf2e0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-87266283ffd44981acc5e61e73faf2e02025-02-03T06:07:22ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/268230 |
| work_keys_str_mv | AT marwanaminkutbi ulamhyersstabilityandwellposednessoffixedpointproblemsforalcontractionmappinginmetricspaces AT wutipholsintunavarat ulamhyersstabilityandwellposednessoffixedpointproblemsforalcontractionmappinginmetricspaces |