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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 α‐λ‐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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:268230
    DOI: 10.1155/2014/268230
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    References listed on IDEAS

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    1. Erdal Karapınar & Bessem Samet, 2012. "Generalized α‐ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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