严格预拟不变凸函数与严格不变拟单调映射
Strictly Prequasiinvex and Strictly Invariant Quasimonotonicity
摘要
讨论了集值映射的严格不变拟单调性与Clarke次微分意义下不可微函数的严格预拟不变凸性.
This paper discusses the strictly invariant quasimonotonicity of the set - valued map and the strictly prequasiinvexity of non - differentiable functions.
出处
《云南民族大学学报(自然科学版)》
CAS
2012年第2期130-132,共3页
Journal of Yunnan Minzu University:Natural Sciences Edition
参考文献10
-
1JABAROOTIAN T,ZAFARANI J.Generalized invariant monotonicity and invexity of non-differentiable functions[J].Journal ofGlobal Optimization,2006,36(4):537-564.
-
2CLARK F H,STERN R J,LEDYAEV Y S,et al.Nonsmooth analysis and control theory[M].New York:Springer,1998.
-
3MOHAN S R,NEOGY S K.On invex set and prinvex functions[J].Journal of Mathematical Analysis and Aplications,1995,189:901-908.
-
4PINI R.Invexity and generalized convexity[J].Optimition,1991,22(4):513-525.
-
5YANG X M,YANG X Q,TEO K L.Characterizations and applications of prequasi-invex functions[J].Journal of OptimizationTheory and Applications,2001,110(3):645-668.
-
6YANG X M,YANG X Q,TEO K L.Generalized invexity and generalized invariant monotonicity[J].Journal of OptimizationTheory and Applications,2003,117(3):607-625.
-
7刘芙萍.严格不变拟单调性[J].重庆师范大学学报(自然科学版),2005,22(3):60-62. 被引量:2
-
8ANSARI Q H,YAO J C.On nondifferentiable and nonconvex vector optimization problems[J].Journal of Optimization Theoryand Applications,2000,106(3):475-488.
-
9KAZMI K R.Some remarks on vector optimization problems[J].Journal Optimization Theory and Applications,1998,96(1):133-138.
-
10HADJISAVVAS N,SCHAIBLE S.On strong pseudomonotonicity and Semi strict quasimonotonicity[J].Journal of OptimizationTheory and Applications,1993,79(1):139-155.
二级参考文献12
-
1杨新民.凸函数的两个充分性条件[J].重庆师范学院学报(自然科学版),1994,11(4):9-12. 被引量:8
-
2KARAMARDIAN S, SCHAIBLE S. Seven Kinds of Monotone Maps[J].Journal of Optimization Theory and Applications,1990,66: 37-46.
-
3RUIZ-GARZON G, OSUNA-GOMEZ R, UFIAN-LIZANA A. Generalized Invex Monotonicity[J]. European Journal of Operational Research, 2003,144: 501-502.
-
4YANG X M, YANG X Q, TEO K L. Generalized Invexity and Generalized Invariant Monotonicity[J]. Journal of Optimization Theory and Applications, 2003,117(3): 607-625.
-
5MOHAN S R, NEOGY S K. On Invex Sets and Preinvex Functions[J]. Journal of Mathematical Analysis and Applications, 1995, 189: 901-908.Optimization,1991, 22: 513-525.
-
6PINI R. Invexity and Generalized Convexity[J]. Optimization,1991, 22: 513-525.
-
7YANG X M, YANG X Q, TEO K L. Characterizations and Applications of Prequasi-Invex Funtions[J]. Journal of Optimization Theory and Applications, 2001,110(3): 645-668.
-
8HADJISAVVAS N, SCHAIBLE S. On Strong Pseudomonotonicity and (Semi)Strict Quasimonotonicity[J]. Journal of Optimization Theory and Applications, 1993,79(1): 139-155.
-
9HANSON M A. On Sufficiency of the Kuhn Tucker Conditions[J]. Journal of Mathematical Analysis and Applications, 1981,80: 545-550.
-
10WEIR T, MOND B. Preinvex Functions in Multiple-Objective Optimization[J]. Journal of Mathematical Analysis and Applications, 1988,136: 29-38.
-
1文乾英.严格预拟不变凸函数与严格不变拟单调映射[J].商丘师范学院学报,2011,27(12):8-10.
-
2刘芙萍.严格不变拟单调性[J].重庆师范大学学报(自然科学版),2005,22(3):60-62. 被引量:2
-
3文乾英.不可微函数的广义凸性与极值映射的广义单调性[J].广西民族大学学报(自然科学版),2011,17(4):74-77.
-
4文乾英.半严格不变拟单调性[J].重庆师范大学学报(自然科学版),2006,23(3):20-22. 被引量:1
-
5唐万梅,刘茜,杨新民.强预拟不变凸函数的充要条件(英文)[J].运筹学学报,2007,11(3):21-30. 被引量:7
-
6唐万梅,刘茜,杨新民.不可微函数的不变伪单调性与伪不变凸性(英文)[J].运筹学学报,2008,12(3):50-58.