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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 712743, 10 pages
http://dx.doi.org/10.1155/2012/712743
Research Article

Fixed Points and Generalized Hyers-Ulam Stability

Department of Mathematics, “Politehnica” University of Timişoara, Piaţa Victoriei No. 2, 300006 Timişoara, Romania

Received 17 May 2012; Accepted 5 July 2012

Academic Editor: Krzysztof Ciepliński

Copyright © 2012 L. Cădariu et al. 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.

Citations to this Article [13 citations]

The following is the list of published articles that have cited the current article.

  • Nicole Brillouët-Belluot, Janusz Brzdek, and Krzysztof Cieplinski, “On Some Recent Developments in Ulam's Type Stability,” Abstract and Applied Analysis, vol. 2012, pp. 1–41, 2012. View at Publisher · View at Google Scholar
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  • Anna Bahyrycz, Janusz Brzdęk, Magdalena Piszczek, and Justyna Sikorska, “Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces,” Journal of Function Spaces and Applications, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • Anna Bahyrycz, Janusz Brzdęk, and Magdalena Piszczek, “On Approximately p-Wright Affine Functions in Ultrametric Spaces,” Journal of Function Spaces and Applications, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Monica-Felicia Bota, Erdal Karapınar, and Oana Mleşniţe, “Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space,” Abstract and Applied Analysis, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
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  • Gang Lu, and Choonkil Park, “Hyers–Ulam Stability of General Jensen-Type Mappings in Banach Algebras,” Results in Mathematics, 2014. View at Publisher · View at Google Scholar
  • Marwan Amin Kutbi, and Wutiphol Sintunavarat, “Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Janusz Brzdęk, “On Ulam's Type Stability of the Cauchy Additive Equation,” The Scientific World Journal, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • 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, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar