Fixed points of terminating mappings in partial metric spaces

Abstract

In this paper, we introduce a mapping called a terminating mapping. The existence of a unique, and globally stable fixed point of terminating mappings were established in partial metric spaces. Also, some application theorems in the space of probability density functions and example on quantum operations were presented. The results obtained in this paper, extend, and improve some existing results in the literature.

Some Fixed Point Results in Partial Rectangular Metric-Like Spaces

“…He studied their topologies and presented a result relying on the fixed points in these spaces related to Banach contraction. ese results had been generalized subsequently by many other studies [7][8][9][10][11].…”

Fixed and coincidence point theorems on partial metric spaces with an application

“…But, in both cases, we get p(f x n+1 , f x n+2 ) < p(f x n+1 , f x n+2 ), which is not true. Hence, p(f x n+1 , f x n+2 ) ≤ p(f x n , f x n+1 ) for all n. Also, by (9), we have (10)…”

A new approach to coincidence and common fixed points under a homotopy of families of mappings in $b$-metric spaces

“…This implies that d is s-regular. Also, 1 2 3 but max{d(1, 2), d(2, 3)} = 25 d (1,3). Therefore, d is not regular.…”

“…Kamihigashi and Stachurski [8] and Batsari et al [3] established fixed point results of orderpreserving self mappings in spaces equipped with a transitive binary relation and some distance measures. Recently, Fomenko and Podoprikhin [6,10] generalized the results of Arutyunov [1,2] to the case of families of multivalued mappings in partially ordered sets.…”