4 citations · 8 across the 5 of their papers we have counts for
5 papers
On M-metric spaces and fixed point theorems
Samer Assaf
In this paper we make some observations concerning m-metric spaces and point out some discrepancies in the proofs found in the literature. To remedy this, we propose a new topologi…
Generalized Metrics
Samer Assaf
The distance on a set is a comparative function. The smaller the distance between two elements of that set, the closer, or more similar, those elements are. Fréchet axiomatized the…
Partial n-metric spaces and fixed point theorems
Samer Assaf, Koushik Pal
In this paper we combine the notions of partial metric spaces with negative distances, -metric spaces and n-metric spaces together into one structure called the partial n-metr…
Partial metric spaces with negative distances and fixed point theorems
Samer Assaf, Koushik Pal
In this paper we consider partial metric spaces in the sense of O'Neill. We introduce the notions of strong partial metric spaces and Cauchy functions. We prove a fixed point theor…
A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm
S. Assaf, L. Chen, T. Cheslack-Postava +5
A dual approach to defining the triangle sequence (a type of multidimensional continued fraction algorithm, initially developed in NT/9906016) for a pair of real numbers is present…