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In the present paper we study 3-dimensional normal almost paracontact metric manifolds admitting Ricci solitons and gradient Ricci solitons. We give an example of 3-dimensional normal almost paracontact metric manifold. It is shown that if in a 3-dimensional normal almost paracontact metric manifold with α, β = constant the metric is Ricci soliton, where potential vector field V is collinear with the characteristic vector field ξ, then the manifold is η-Einstein. We also prove that an η-Einstein 3-dimensional normal almost paracontact metric manifold with α, β = constant and V = ξ admits a Ricci soliton. Furthermore, we show that if a 3-dimensional normal almost paracontact metric manifold admits a Ricci soliton (g, ξ, λ) then the Ricci soliton is shrinking.

RICCI SOLITONS IN 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS