Second-order nondifferentiable multiobjective mixed symmetric dual programs over cones

作     者：Gupta, S.K. Dangar, D. Kailey, N. Kumar, S. 

作者机构：Department of Mathematics Indian Institute of Technology Roorkee Roorkee 247667 India Department of Mathematics Indian Institute of Technology Patna Patna 800013 India School of Mathematics and Computer Applications Thapar University Patiala Patiala 147004 India Indian Institute of Management Udaipur Udaipur 313 001 India 

出 版 物：《Journal of Mathematical Modelling and Algorithms》 (J. Math. Model. Algorithms)

年 卷 期：2015年第14卷第1期

页      面：103-123页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Cone constraints Mixed second-order duality Non-differentiable programming Support function Symmetric duality 

摘      要：In this paper, a pair of second-order mixed symmetric nondifferentiable multiobjective dual programs over arbitrary cones where each of the objective functions contains a pair of support functions is considered. Further, weak, strong and converse duality theorems are established under the assumptions of second-order K-(F, ρ)-convexity. Moreover, we have illustrated a numerical example which is second-order K-(F, ρ)-convex but not second-order F-convex. Several special cases are also obtained. © Springer Science+Business Media Dordrecht 2014.