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We develop a new coding and decoding method using the generalized Pell $(p,i)$-numbers for $p=1$. The relations among the code matrix elements, error detection, and correction have been established for coding theory when $p=i=1$. We give two new blocking algorithms using Pell numbers and generalized Pell $(p,i)$-numbers for $p=1$., Contributions to Discrete Mathematics, Vol. 15 No. 1 (2020)

Özgür, Nihal Yılmaz (Balikesir Author), In this paper, we present a new notion which is called an extended Mb-metric space as a generalization of an M-b-metric space. We investigate some basic and topological properties of this new space. Furthermore, an extended M-b-metric space is a new generalization of an M-metric space and partial metric space. So it is important to study fixed-point theorems for non-M -metric (or non-partial metric) functions on an extended M-b-metric space. Also we generalize some known results in literature.

In this paper our aim is to study some fixed-circle theorems on 5 metric spaces. For this purpose we give new examples of S-metric spaces and investigate some relationships between circles on metric and S-metric spaces. Then we investigate some existence and uniqueness conditions for fixed circles of self-mappings on S-metric spaces.

In this paper, we obtain some properties of the sequences introduced in [6]. We find polynomial representations and formulas of them. For q = 5, is the Fibonacci sequence is the Lucas sequence .