The purpose of this paper is to extend and improve some results concerning of R′-max-Kannan and R′′-Kannan mappings to R˜n-contraction and R˜n Kannan mappings. Second, we establish new mapping, that is a R˜n contraction and R˜n-Kannan mappings. More than that, we prove the results of fixed point for such mappings in metric spaces.
Keywords
Fixed point, Metric spaces, b-metric spaces, R?n-contraction, R?n-function