The cross sections for the reactions of the strange production p + p → p + Λ + K+ and p + p → p + Σ0 + K+ near thresholds of the final states pΛK+ and pΣ0K+ are calculated in the effective Lagrangian approach. Our approach is based on the dominant contribution of the one–pion exchange and strong interaction of the colliding protons in the initial state. The theoretical values of the cross secti...