K. Chaira

activity

20202023

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Showing 2021Show all

3 papers · 1 filter

math.CO2021

Bipartite graphs and best proximity pairs

Karim Chaira, Oleksiy Dovgoshey, Samih Lazaiz

We say that a bipartite graph $G (A, B)$ with fixed parts $A$ , $B$ is proximinal if there is a semimetric space $(X, d)$ such that $A$ and $B$ are disjoint proximinal subsets of $X$ …

math.GN2021

Best proximity pairs in ultrametric spaces

K. Chaira, O. Dovgoshey, S. Lazaiz

In the present paper, we study the existence of best proximity pairs in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A, B)$ has a best proximi…

math.FA2021

Best proximity points in ultrametric spaces

Karim Chaira, Samih Lazaiz

In the present paper, we study the existence of best proximity pair in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A, B)$ has a best proximit…