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Fixed point results using multivalued and orbital continuous mapping in quasi partial metric space

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  • Lekha Dey
  • Sanjay Sharma

Abstract

The aim of the work is to generalise some fixed-point results for mapping that is multivalued in quasi-partial-metric space. It is an extension of fixed points for dominated mappings in partial metric space. The work modifies and extends all results of partial metric space (Ahmad et al., 2013) into quasi-partial metric space. The work also proves some fixed-point theorem for orbitally continuous operators defined in quasi-partial metric space. This paper reveals that both theorems can be given better results in quasi-partial metric space as well as obtained results are associated with the other operators. Finally, we provide an example to support the last theorem.

Suggested Citation

  • Lekha Dey & Sanjay Sharma, 2023. "Fixed point results using multivalued and orbital continuous mapping in quasi partial metric space," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 26(2), pages 250-262.
    • Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:250-262
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