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A Unification of -Metric, Partial Metric, and -Metric Spaces

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  • Nawab Hussain
  • Jamal Rezaei Roshan
  • Vahid Parvaneh
  • Abdul Latif

Abstract

Using the concepts of -metric, partial metric, and -metric spaces, we define a new concept of generalized partial -metric space. Topological and structural properties of the new space are investigated and certain fixed point theorems for contractive mappings in such spaces are obtained. Some examples are provided here to illustrate the usability of the obtained results.

Suggested Citation

  • Nawab Hussain & Jamal Rezaei Roshan & Vahid Parvaneh & Abdul Latif, 2014. "A Unification of -Metric, Partial Metric, and -Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-14, March.
    • Handle: RePEc:hin:jnlaaa:180698
    DOI: 10.1155/2014/180698
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