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Ulam-Hyers Stability Results for Fixed Point Problems via - -Contractive Mapping in ( )-Metric Space

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  • Monica-Felicia Bota
  • Erdal Karapınar
  • Oana Mleşniţe

Abstract

We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via - -contractive mapping of type-( ) in the framework of -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 - -Contractive Mapping in ( )-Metric Space," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, September.
    • Handle: RePEc:hin:jnlaaa:825293
    DOI: 10.1155/2013/825293
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    Cited by:

    1. Erdal Karapınar & Farshid Khojasteh & Zoran D. Mitrović, 2019. "A Proposal for Revisiting Banach and Caristi Type Theorems in b -Metric Spaces," Mathematics, MDPI, vol. 7(4), pages 1-4, March.

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