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

Authors: Lekha Dey; Sanjay Sharma

Addresses: Department of Mathematics, Bhilai Institute of Technology, Durg, Chhattisgarh 491001, India ' Department of Mathematics, Bhilai Institute of Technology, Durg, Chhattisgarh 491001, India

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.

DOI: 10.1504/IJMOR.2023.134470

International Journal of Mathematics in Operational Research, 2023 Vol.26 No.2, pp.250 - 262

Received: 01 Feb 2022
Accepted: 25 Aug 2022
Published online: 24 Oct 2023 *

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