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 $X$…