1 |
Hiriart-Urruty J B . New concepts in nondifferentiable programming[J]. Mémoires de la Société Mathématique de France, 1979, 60, 57- 85.
|
2 |
Hiriart-Urruty J B . Tangent cones, generalized gradients and mathematical programming in banach spaces[J]. Mathematics of Operations Research, 1979, 4 (1): 79- 97.
doi: 10.1287/moor.4.1.79
|
3 |
Gao Y , Yang X M . Properties of the nonlinear scalar functional and its applications to vector optimization problems[J]. Journal of Global Optimization, 2019, 73 (4): 869- 889.
doi: 10.1007/s10898-018-0725-z
|
4 |
Tang L P , Gao Y . Some properties of nonconvex oriented distance function and applications to vector optimization problems[J]. Journal of Industrial and Management Optimization, 2021, 17 (1): 485- 500.
doi: 10.3934/jimo.2020117
|
5 |
Xuab Y D , Li S J . A new nonlinear scalarization function and applications[J]. Optimization, 2015, 65 (1): 207- 231.
|
6 |
Ginchev I , Guerraggio A , Rocca M . Geoffrion type characterization of higher-order properly efficient points in vector optimization[J]. Science Direct, 2007, 328 (2): 780- 788.
|
7 |
Zhao K Q , Xia Y M , Yang X M . Nonlinear scalarization characterizations of E-efficiency in vector[J]. Taiwanese Journal of Mathematics, 2015, 19 (2): 455- 466.
|
8 |
Zaffaroni A . Degrees of efficiency and degrees of minimality[J]. SIAM Journal on Control and Optimization, 2003, 42 (3): 1071- 1086.
doi: 10.1137/S0363012902411532
|
9 |
Zang I . A smoothing-out technique for min-max optimization[J]. Mathematical Programming, 1980, 19, 61- 77.
doi: 10.1007/BF01581628
|
10 |
Qi L Q , Chen X J . A globally convergent successive approximation method for severely nonsmooth equations[J]. SIAM Journal on Control and Optimization, 1995, 33 (2): 402- 418.
doi: 10.1137/S036301299223619X
|
11 |
Chen C , Mangasarian O . A class of smoothing functions for nonlinear and mixed complementarity problems[J]. Computational Optimization and Applications, 1996, 5, 97- 138.
doi: 10.1007/BF00249052
|
12 |
Nesterov Y . Smooth minimization of non-smooth functions[J]. Mathematical Programming, 2005, 103 (1): 127- 152.
doi: 10.1007/s10107-004-0552-5
|
13 |
Chen X J . Smoothing methods for nonsmooth, nonconvex minimization[J]. Mathematical Programming, 2012, 134 (1): 71- 99.
|
14 |
Bian W , Chen X J . Worst-case complexity of smoothing quadratic regularization methods for non-lipschitzian optimization[J]. SIAM Journal on Optimization, 2013, 23 (3): 1718- 1741.
|
15 |
Bian W , Chen X J . A smoothing proximal gradient algorithm for nonsmooth convex regression with cardinality penalty[J]. SIAM Journal on Numerical Analysis, 2020, 58 (1): 858- 883.
|
16 |
Bian W , Chen X J . Neural network for nonsmooth, nonconvex constrained minimization via smooth approximation[J]. IEEE Transactions on Neural Networks and Learning Systems, 2014, 25 (3): 545- 556.
|
17 |
Beck A . First-Order Methods in Optimization[M]. Philadelphia: Society for Industrial and Applied Mathematics, 2017.
|
18 |
Bertsekas D P . Convex Optimization Theory[M]. 北京: 清华大学出版社, 2011.
|
19 |
Bagirov A , Karmitsa N , Makela M . Introduction to Nonsmooth Optimization: Theory, Practice and Software[M]. Heidelberg: Springer International Publishing, 2014.
|
20 |
Ehrgott M . Multicriteria Optimization[M]. Heidelberg: Springer Science and Business Media, 2005.
|
21 |
Engau A , Wiecek M M . Generating ε-efficient solutions in multiobjective programming[J]. European Journal of Operational Research, 2007, 177 (3): 1566- 1579.
|