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

Lekha Dey and Sanjay Sharma

International Journal of Mathematics in Operational Research, 2023, vol. 26, issue 2, 250-262

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.

Keywords: fixed point theory; partial metric space; quasi partial metric space; multi valued mappings; Cauchy sequence; distance function; orbitally complete QPMS. (search for similar items in EconPapers)
Date: 2023
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