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Some Fixed‐Point Results for a G‐Weak Contraction in G‐Metric Spaces

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  • Wasfi Shatanawi
  • Mihai Postolache

Abstract

We introduce the concepts of a G‐weak contraction mapping of types A and B and we establish some fixed point theorems for a G‐weak contraction mapping of types A and B in complete G‐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 G‐Weak Contraction in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:815870
    DOI: 10.1155/2012/815870
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    References listed on IDEAS

    as
    1. Shatanawi, Wasfi, 2012. "Some fixed point results for a generalized ψ-weak contraction mappings in orbitally metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 520-526.
    2. Hemant Kumar Nashine & Hassen Aydi, 2012. "Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-23, July.
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