Contents Preface Chapter 1 Lower-Order Penalty Function Algorithm 1 1.1 Optimal Condition Based on Lower-Order Penalty Function 1 1.2 Smoothing Lower-Order Penalty Function Algorithm 11 1.3 Second-Order Smoothing Penalty Function Algorithm 27 1.4 Smoothing Square-Root Penalty Function Algorithm 42 Chapter 2 Objective Penalty Function Algorithm 63 2.1 General Objective Penalty Function Algorithm 63 2.2 Exactness Objective Penalty Function Algorithm 78 2.3 First-Order Smoothing Objective Penalty Function Algorithm 97 2.4 Second-Order Smoothing Objective Penalty Function Algorithm 106 Chapter 3 Other Objective Penalty Function Algorithms 116 3.1 Barrier Objective Penalty Function Algorithm 116 3.2 Barrier Objective Penalty Function Algorithm II 133 3.3 M-objective Penalty Function Algorithm 146 3.4 Lagrange Objective Penalty Function Algorithm 160 3.5 Objective Penalty Function Algorithm of Zero-One Problems 177 Chapter 4 Objective Penalty Functions Algorithm for MOP, MPCC and BP 183 4.1 Objective Penalty Functions Algorithm I for MOP 183 4.2 Objective Penalty Functions Algorithm II for MOP 195 4.3 Objective Penalty Functions Algorithm for MPCC 203 4.4 Objective Penalty Functions Algorithm I for BP 214 4.5 Objective Penalty Functions Algorithm II for BP 224 4.6 Objective Penalty Functions Algorithm III for BP 232 References 242