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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/569174 |
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| author | Wutiphol Sintunavarat |
| author_facet | Wutiphol Sintunavarat |
| author_sort | Wutiphol Sintunavarat |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-d2af13af708644b6a0107287f58b3c2d |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d2af13af708644b6a0107287f58b3c2d2025-02-03T06:12:07ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/569174569174Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric SpacesWutiphol Sintunavarat0Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12121, ThailandWe 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.http://dx.doi.org/10.1155/2014/569174 |
| spellingShingle | Wutiphol Sintunavarat Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/569174 |
| work_keys_str_mv | AT wutipholsintunavarat generalizedulamhyersstabilitywellposednessandlimitshadowingoffixedpointproblemsforabcontractionmappinginmetricspaces |