Optimality and mixed saddle point criteria in multiobjective optimization

Journal of Mathematical Analysis and Applications - Tập 342 - Trang 135-145 - 2008
Guneet Bhatia1
1Department of Mathematics, University of Delhi, Delhi 110 007, India

Tài liệu tham khảo

Rockafellar, 1970 Sawaragi, 1985 Yu, 1985 Ehrgott, 2005 Jahn, 2004 Miettinen, 1999 Auslender, 1984, Stability in mathematical programming with non-differentable data, SIAM J. Control Optim., 22, 239, 10.1137/0322017 Ward, 1994, Characterizations of strict local minima and necessary conditions for weak sharp minima, J. Optim. Theory Appl., 80, 551, 10.1007/BF02207780 Jiménez, 2002, Strict efficiency in vector optimization, J. Math. Anal. Appl., 265, 264, 10.1006/jmaa.2001.7588 Jiménez, 2002, First and second order sufficient conditions for strict minimality in multiobjective programming, Numer. Funct. Anal. Optim., 23, 303, 10.1081/NFA-120006695 Jiménez, 2003, First and second order sufficient conditions for strict minimality in nonsmooth vector optimization, J. Math. Anal. Appl., 284, 496, 10.1016/S0022-247X(03)00337-8 Lin, 2003, Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints, J. Optim. Theory Appl., 118, 67, 10.1023/A:1024787424532 Vial, 1983, Strong and weak convexity of sets and functions, Math. Oper. Res., 8, 231, 10.1287/moor.8.2.231 Clarke, 1983 Chandra, 2004, Regularity conditions and optimality in vector optimization, Numer. Funct. Anal. Optim., 25, 479, 10.1081/NFA-200042637 Mangasarian, 1994, Nonlinear Programming, vol. 10 Li, 1984, Lagrange multipliers and saddle points in multiobjective programming, J. Optim. Theory Appl., 83, 63, 10.1007/BF02191762 Wang, 1992, Scalarization and Lagrangian duality in multiobjective optimization, Optimization, 26, 315, 10.1080/02331939208843860