条件C下的伪不变单调准则
Quasi-invex Monotone Norm Under Condition C
摘要
在条件C下,推导出伪不变凸单调与严格伪不变凸函数之间的关系.
Under condition C, this thesis presents the relationship between quasi-invex monotone and strict quasi-invex functions.
出处
《重庆工商大学学报(自然科学版)》
2015年第4期18-19,共2页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
伪不变凸
广义不变凸
条件C
quasi-invexity
generalized invex
Condition C
参考文献5
-
1RUIZ GARZON G,0SUNA-G0MEZ R,RUFIAN-LIZANA A.Generalized Invex Monotonicity[J].European Journal of Operational Research,2003(144):501-512.
-
2YANG X M,YANG X Q,TEO K L.Criteria for Generalized Invex Monotonicities[J].European Journal of Operations Research,2005(164):115-119.
-
3YANG X M,YANG X Q,TEO K L.Generalized Invexity and Generalized Invariant Monotonicity[J].Journal of Optimization Theory and Applications,2003(117):607-625.
-
4PENG J W.Criteria for Generalized Invex Monotonicities without Condition C[J].European Journal of Operations Research,2006(170):667-671.
-
5张其茂.一类B-预不变凸多目标规划的最优性充分条件[J].重庆工商大学学报(自然科学版),2009,26(6):522-525. 被引量:2
二级参考文献7
-
1WEIR T,MOND B. Preinvex Functions in Multiple Objective Optimization[ J]. JMAA, 1988,136:29-38.
-
2WEIR T, JEYAKUMAR V. A Class of Nonconvex Functions and Mathematical Programming[ J ]. Bulletin of Australian Mathematical Society, 1988,38 : 177-189.
-
3BECTOR C R, SINGH C. B-vex Functions [ J ]. JOTA, 1991,71:237-253.
-
4RUEDA N G, SINGH C, BECTOR C R. Further Properties of B-vex Functions [ J ]. Infor Optim, 1992,13 (2) : 195-206.
-
5ANTCZAK T. A Class of B-( p, r)-invex Functions and Mathematical Programming[ J ]. JMAA,2003,286:187-206.
-
6BECTOR C R. SUNEJA S K. LALITHA C S. Generalized B-Vex Functions and Generalized B-Vex Programming[ J ]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993,76 (3) :577 -587.
-
7尹景本,薛春善.一类全局优化问题的线性松弛方法[J].重庆工学院学报(自然科学版),2008,22(4):63-66. 被引量:1
-
1张庆祥.广义不变凸多目标规划的最优性条件[J].延安大学学报(自然科学版),1994,13(1):26-32. 被引量:5
-
2向丽娟.广义不变凸单调准则[J].重庆工商大学学报(自然科学版),2015,32(1):13-14.
-
3杨新民.广义不变凸非线性分式规划的对偶性[J].数学的实践与认识,1996,26(3):217-222. 被引量:6
-
4罗勇,姚元金.一类非凸非光滑多目标分式规划的最优性条件[J].湖北民族学院学报(自然科学版),2009,27(4):398-402. 被引量:1
-
5黄胜喜.对广义不变凸形条件的推广[J].科技风,2009(2X):285-285.
-
6任亚萍.严格伪不变单调准则[J].重庆工商大学学报(自然科学版),2015,32(1):11-12.
-
7金鉴禄,李东升,陆晶,刘庆怀.一类非光滑广义不变凸多目标优化的Mond-Weir对偶[J].长春工业大学学报,2012,33(4):361-366.
-
8姚元金.广义不变凸分式多目标规划的最优性条件[J].安徽大学学报(自然科学版),2004,28(1):24-29. 被引量:4
-
9姚元金.一类非凸非光滑多目标分式规划问题的对偶[J].西南大学学报(自然科学版),2010,32(3):10-14. 被引量:2
-
10邱根胜.广义凸多目标分式规划解的充分条件及其对偶定理[J].南昌航空工业学院学报,2001,15(1):68-73. 被引量:2