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Ulam‐Hyers Stability Results for Fixed Point Problems via α‐ψ‐Contractive Mapping in (b)‐Metric Space

Author

Listed:
  • Monica-Felicia Bota
  • Erdal Karapınar
  • Oana Mleşniţe

Abstract

We will investigate some existence, uniqueness, and Ulam‐Hyers stability results for fixed point problems via α‐ψ‐contractive mapping of type‐(b) in the framework of b‐metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).

Suggested Citation

  • Monica-Felicia Bota & Erdal Karapınar & Oana Mleşniţe, 2013. "Ulam‐Hyers Stability Results for Fixed Point Problems via α‐ψ‐Contractive Mapping in (b)‐Metric Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:825293
    DOI: 10.1155/2013/825293
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    References listed on IDEAS

    as
    1. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, June.
    2. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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