Common Fixed Points of Set –Valued Mappings on Partial b - Metric Spaces
DOI:
https://doi.org/10.24996/ijs.2024.65.12.21Keywords:
Partial b- metric space, Set-valued mapping, Common fixed point, Housedorff partial b-metric space, b-metric spaceAbstract
In this work, the Banach contraction principle is generalized to a new formula. Then, it is used to give the guarantee conditions for the existence of common fixed point for set valued mappings defined on complete partial b-metric spaces. In addition, some results in connection with the existence of a fixed point for a set-valued mapping defined on a partial b-metric space are given. Some examples are established to illustrate our results.
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