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The object of the present study is to study 3-dimensional generalized($\kappa ,\mu $)-contact metric manifolds with $\tilde{W}\cdot R=0$ and$\tilde{W}\cdot H=0$ to cover all the eight equivalent classes given in\cite{Shaikh2}.

Some curvature restrictions on $3$-dimensional generalized ($\kappa ,\mu $)-contact metric manifolds