If \((E,d)\)is metric space and \(x_0\in E\), then the open ball centred at \(x_0\) of radius \(r>0\) is given by the set

If \((E,d)\)is metric space and \(x_0\in E\), then the open ball centred at \(x_0\) of radius \(r>0\) is given by the set

—>> \(B(x_0;r)={y\in E:d((x_0,y)<r}\)

\(B(x_0;r)={y\in E:d((x_0,y)\leq r}\)

\(S(x_0;r)={y\in E:d((x_0,y)\geq r}\)

\(S(x_0;r)={y\in E:d((x_0,y)=r}\)

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