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

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  • Marwan Amin Kutbi
  • Wutiphol Sintunavarat

Abstract

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

Suggested Citation

  • Marwan Amin Kutbi & Wutiphol Sintunavarat, 2014. "Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α - λ -Contraction Mapping in Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, June.
  • Handle: RePEc:hin:jnlaaa:268230
    DOI: 10.1155/2014/268230
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