The evaporation residual cross sections (ERCSs) of these reactions were calculated by using \(^{144}\) Sm, \(^{160,164}\) Dy, \(^{165}\) Ho, \(^{166}\) Er, \(^{169}\) Tm, \(^{171,174}\) Yb, \(^{175}\) Lu, \(^{176-180}\) Hf, \(^{181}\) Ta, \(^{180,182}\) W and \(^{187}\) Re targets with \(^{40}\) Ar projectiles in the theoretical framework of the dinuclear system (DNS) model. The de-excitation process of the compound nucleus was theoretically calculated using two different statistical models, namely the statistical model 1 and statistical model 2 (GEMINI++ model). The calculated ERCSs were also compared with the experimental data. The ERCSs of synthesizing new proton-rich nuclides were investigated based on the fusion evaporation reaction. Predictions were made for the ERCSs of new isotopes of Pu, Cm and Bk in the heavy nuclei region, while the new isotopes of Ds, Cn and Fl are predicted in the superheavy nuclei region of \(Z \ge 104\) .