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Common Best Proximity Point Results for T-GKT Cyclic ϕ-Contraction Mappings in Partial Metric Spaces with Some Applications

Nilakshi Goswami, Raju Roy, Vishnu Narayan Mishra, Luis Manuel Sánchez Ruiz
2021 Symmetry  
The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic ϕ-contraction mappings  ...  With the help of these symmetric mappings, the characterization of completeness of metric spaces given by Cobzas (2016) is extended here for partial metric spaces.  ...  In the following theorem, we prove the existence of a common best proximity point for a T-GKT cyclic φ-contraction in a partial metric space under adequate conditions.  ... 
doi:10.3390/sym13061098 fatcat:pvp5hh64djabvpiyu67cm25zcq