TY - JOUR AU - Zangwill, W. I. PY - 1967 DA - 1967// TI - Non-linear programming via penalty functions JO - Manag. Sci. VL - 13 UR - https://doi.org/10.1287/mnsc.13.5.344 DO - 10.1287/mnsc.13.5.344 ID - Zangwill1967 ER - TY - JOUR AU - Zangwill, I. PY - 1980 DA - 1980// TI - A smoothing-out technique for min-max optimization JO - Math. Program. VL - 19 UR - https://doi.org/10.1007/BF01581628 DO - 10.1007/BF01581628 ID - Zangwill1980 ER - TY - CHAP AU - Ben-Tal, A. AU - Teboulle, M. PY - 1989 DA - 1989// TI - A smoothing technique for non-differentiable optimization problems BT - Lecture Notes in Mathematics PB - Springer CY - Berlin ID - Ben-Tal1989 ER - TY - JOUR AU - Pinar, M. AU - Zenios, S. PY - 1994 DA - 1994// TI - On smoothing exact penalty functions for convex constrained optimization JO - SIAM J. Optim. VL - 4 UR - https://doi.org/10.1137/0804027 DO - 10.1137/0804027 ID - Pinar1994 ER - TY - JOUR AU - Liu, B. Z. PY - 2009 DA - 2009// TI - On smoothing exact penalty functions for nonlinear constrained optimization problems JO - J. Appl. Math. Comput. VL - 30 UR - https://doi.org/10.1007/s12190-008-0171-z DO - 10.1007/s12190-008-0171-z ID - Liu2009 ER - TY - JOUR AU - Lian, S. J. PY - 2012 DA - 2012// TI - Smoothing approximation to l1$l_{1}$ exact penalty function for inequality constrained optimization JO - Appl. Math. Comput. VL - 219 ID - Lian2012 ER - TY - JOUR AU - Liu, B. Z. AU - Zhao, W. L. PY - 2012 DA - 2012// TI - A modified exact smooth penalty function for nonlinear constrained optimization JO - J. Inequal. Appl. VL - 2012 UR - https://doi.org/10.1186/1029-242X-2012-173 DO - 10.1186/1029-242X-2012-173 ID - Liu2012 ER - TY - JOUR AU - Xu, X. S. AU - Meng, Z. Q. AU - Huang, L. G. AU - Shen, R. PY - 2013 DA - 2013// TI - A second-order smooth penalty function algorithm for constrained optimization problems JO - Comput. Optim. Appl. VL - 55 UR - https://doi.org/10.1007/s10589-012-9504-9 DO - 10.1007/s10589-012-9504-9 ID - Xu2013 ER - TY - JOUR AU - Jiang, M. AU - Shen, R. AU - Xu, X. S. AU - Meng, Z. Q. PY - 2014 DA - 2014// TI - Second-order smoothing objective penalty function for constrained optimization problems JO - Numer. Funct. Anal. Optim. VL - 35 UR - https://doi.org/10.1080/01630563.2013.811421 DO - 10.1080/01630563.2013.811421 ID - Jiang2014 ER - TY - JOUR AU - Binh, N. T. PY - 2015 DA - 2015// TI - Smoothing approximation to l1$l_{1}$ exact penalty function for constrained optimization problems JO - J. Appl. Math. Inform. VL - 33 UR - https://doi.org/10.14317/jami.2015.387 DO - 10.14317/jami.2015.387 ID - Binh2015 ER - TY - BOOK AU - Luo, Z. Q. AU - Pang, J. S. AU - Ralph, D. PY - 1996 DA - 1996// TI - Mathematical Programs with Equilibrium Constraints PB - Cambridge University Press CY - Cambridge UR - https://doi.org/10.1017/CBO9780511983658 DO - 10.1017/CBO9780511983658 ID - Luo1996 ER - TY - JOUR AU - Rubinov, A. M. AU - Yang, X. Q. AU - Bagirov, A. M. PY - 2002 DA - 2002// TI - Penalty functions with a small penalty parameter JO - Optim. Methods Softw. VL - 17 UR - https://doi.org/10.1080/1055678021000066058 DO - 10.1080/1055678021000066058 ID - Rubinov2002 ER - TY - JOUR AU - Huang, X. X. AU - Yang, X. Q. PY - 2003 DA - 2003// TI - Convergence analysis of a class of nonlinear penalization methods for constrained optimization via first-order necessary optimality conditions JO - J. Optim. Theory Appl. VL - 116 UR - https://doi.org/10.1023/A:1022503820909 DO - 10.1023/A:1022503820909 ID - Huang2003 ER - TY - JOUR AU - Wu, Z. Y. AU - Bai, F. S. AU - Yang, X. Q. AU - Zhang, L. S. PY - 2004 DA - 2004// TI - An exact lower order penalty function and its smoothing in nonlinear programming JO - Optimization VL - 53 UR - https://doi.org/10.1080/02331930410001662199 DO - 10.1080/02331930410001662199 ID - Wu2004 ER - TY - JOUR AU - Meng, Z. Q. AU - Dang, C. Y. AU - Yang, X. Q. PY - 2006 DA - 2006// TI - On the smoothing of the square-root exact penalty function for inequality constrained optimization JO - Comput. Optim. Appl. VL - 35 UR - https://doi.org/10.1007/s10589-006-8720-6 DO - 10.1007/s10589-006-8720-6 ID - Meng2006 ER - TY - JOUR AU - Lian, S. J. PY - 2013 DA - 2013// TI - Smoothing approximation to the square-order exact penalty functions for constrained optimization JO - J. Appl. Math. VL - 2013 ID - Lian2013 ER - TY - JOUR AU - He, Z. H. AU - Bai, F. S. PY - 2010 DA - 2010// TI - A smoothing approximation to the lower order exact penalty function JO - Oper. Res. Trans. VL - 14 ID - He2010 ER - TY - JOUR AU - Lian, S. J. PY - 2012 DA - 2012// TI - On the smoothing of the lower order exact penalty function for inequality constrained optimization JO - Oper. Res. Trans. VL - 16 ID - Lian2012 ER - TY - BOOK AU - Bazaraa, M. S. AU - Sherali, H. D. AU - Shetty, C. M. PY - 1993 DA - 1993// TI - Nonlinear Programming: Theory and Algorithms PB - Wiley CY - New York ID - Bazaraa1993 ER - TY - JOUR AU - Sun, X. L. AU - Li, D. PY - 1999 DA - 1999// TI - Value-estimation function method for constrained global optimization JO - J. Optim. Theory Appl. VL - 102 UR - https://doi.org/10.1023/A:1021736608968 DO - 10.1023/A:1021736608968 ID - Sun1999 ER - TY - BOOK AU - Flondas, C. A. AU - Pardalos, P. M. PY - 1990 DA - 1990// TI - A Collection of Test Problems for Constrained Global Optimization Algorithms PB - Springer CY - Berlin UR - https://doi.org/10.1007/3-540-53032-0 DO - 10.1007/3-540-53032-0 ID - Flondas1990 ER -