Kutateladze S S. Convex \varepsilon-programming [J]. Soviet Mathematics Doklady}, 1979, 20(2): 391-393. Loridan P. \varepsilon-solutions in vector minimization problems [J]. Journal of Optimization Theory and Applications, 1984, 43(2): 265-276. Rong W D, Wu Y N. \varepsilon-weak minimal solutions of vector optimization problems with set-valued maps [J]. Journal of Optimization Theory and Applications, 2000, 106(3): 569-579. Guti\'{e}rrez C, Jim\'{e}nez B, Novo V. A unified approach and optimality conditions for approximate solutions of vector optimization problems [J]. SIAM Journal on Optimization, 2006, 17(3): 688-710. Guti\'{e}rrez C, Jim\'{e}nez B, Novo V. On approximate efficiency in multiobjective programming [J]. Mathematical Methods of Operations Research, 2006, 64(1): 165-185. Chicoo M, Mignanego F, Pusillo L, et al. Vector optimization problem via improvement sets [J]. Journal of Optimization Theory and Applications, 2011, 150(3): 516-529. Guti\'{e}rrez C, Jim\'{e}nez B, Novo V. Improvement sets and vector optimization [J]. European Journal of Operational Research, 2012, 223(2): 304-311. Zhao K Q, Yang X M, Peng J W. Weak E-optimal solution in vector optimization [J]. Taiwanese Journal of Mathematics, 2013, 17(4): 1287-1302. Flores-Baz\'{a}n F, Hern\'{a}ndez E. A unified vector optimization problem: complete scalarizations and applications [J]. Optimization, 2011, 60(12): 1399-1419. Liu J C. \varepsilon-properly efficient solutions to nondifferentiable multiobjective programming problems [J]. Applied Mathematics Letters, 1999, 12(6): 109-113. Rong W D, Ma Y. \varepsilon-properly efficient solutions of vector optimization problems with set-valued maps [J]. OR Transactions, 2000, 4(4): 21-32. Gao Y, Yang X M, Teo K L. Optimality conditions for approximate solutions of vector optimization problems [J]. Journal of Industrial and Management Optimization, 2011, 7(2): 483-496. Guti\'{e}rrez C, Huerga L, Novo V. Scalarization and saddle points of approximate proper solutions in nearly subconvexlike vector optimization problems [J]. Journal of Mathematical Analysis and Applications, 2012, 389(2): 1046-1058. Zhao K Q, Yang X M. E-Benson proper efficiency in vector optimization [J]. Optimization, DOI 10.1080/023 31934.2013.798321, 2013. G\"{o}pfert A, Tammer C, Riahi H, et al. Variational Methods in Partially Ordered Spaces [M]. New York: Springer-Verlag, 2003. Tammer C, Zalinescu C. Lipschitz properties of the scalarization function and applications [J]. Optimization, 2010, 59(2): 305-319. |