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Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces

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  • Wasfi Shatanawi
  • Mihai Postolache

Abstract

We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in the literature.

Suggested Citation

  • Wasfi Shatanawi & Mihai Postolache, 2012. "Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-19, October.
    • Handle: RePEc:hin:jnlaaa:815870
    DOI: 10.1155/2012/815870
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    Cited by:

    1. Ullah, Kifayat & Katiyar, S.K., 2023. "Generalized G-Hausdorff space and applications in fractals," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Hasanen A. Hammad & Amal A. Khalil, 2020. "The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness," Mathematics, MDPI, vol. 8(12), pages 1-21, November.

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