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Combining a multiplier penalty function method of dealing with constraints using the quantum particle swarm optimization (QPSO) algorithm, a hybrid QPSO algorithm is proposed for solving nonlinear complementary problems. This method utilizes the advantages of the QPSO and the multiplier penalty function method. The non-feasible particles produced in the iterative process are dealt with using the multiplier penalty function method to produce feasible particles. Numerical experiments show thatfatcat:io7r2vdvbncetc7edrjzlsdzhe