Some results on fixed points and best approximation in partial idempotent-valued metric spaces

Authors: Iranmanrsh M., Soleimany F., Radenović S.

Keywords: partial metric space; fixed points; best approximation

DOI: 10.5937/SPSUNP1902061I

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Abstract:

In this work, we introduce the concept of a partial idempotent-valued metric space and establish some existence results of fixed point for different contractive type mappings on such spaces. We also study the existence and uniqueness of best proximity points in the setting these spaces.