Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-...
Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
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Cairo, Egypt: Hindawi Publishing Corporation
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English
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Cairo, Egypt: Hindawi Publishing Corporation
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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 contractio...
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Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces
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TN_cdi_doaj_primary_oai_doaj_org_article_d2af13af708644b6a0107287f58b3c2d
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_d2af13af708644b6a0107287f58b3c2d
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ISSN
2356-6140
E-ISSN
1537-744X
DOI
10.1155/2014/569174