Duality in Vector Optimization in Banach Spaces with Generalized Convexity

被引:0
作者
S.K. Mishra
G. Giorgi
S.Y. Wang
机构
[1] G. B. Pant University of Agriculture and Technology,Department of Mathematics, Statistics and C. Sc., College of Basic Sciences and Humanities
[2] University of Pavia,Section of General and Applied Mathematics, Department of Management Sciences
[3] Academy of Mathematics and Systems Sciences,Institute of Systems Science
[4] Chinese Academy of Sciences,undefined
来源
Journal of Global Optimization | 2004年 / 29卷
关键词
duality; nonsmooth programming; optimality conditions; type-I functions; vector optimization;
D O I
暂无
中图分类号
学科分类号
摘要
We consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given and some results on duality are proved.
引用
收藏
页码:415 / 424
页数:9
相关论文
共 30 条
[1]  
Craven B.D.(1989)Nonsmooth multiobjective programming Numerical Functional Analysis and Optimization 10 49-64
[2]  
Minami M.(1983)Weak pareto-optimal necessary conditions in a nondifferential multiobjective program on a Banach space Journal of Optimization Theory and Applications 41 451-461
[3]  
Giorgi G.(1996)Various types of nonsmooth ivexity Journal of Information and Optimization Sciences 17 137-150
[4]  
Guerraggio A.(1990)Nonsmooth invexity Bulletin of the Australian Mathematical Society 42 437-446
[5]  
Reiland T.W.(1994)Nonsmooth invexity in multiobjective programming Journal of Information and Optimization Sciences 15 127-136
[6]  
Lee G.M.(1996)Optimality and duality for generalized fractional programming involving nonsmooth pseudoinvex functions Journal of Mathematical Analysis and Applications 202 667-685
[7]  
Liu J.C.(1996)On generalized convex multiobjecive nonsmooth programming Journal of the Australian Mathematical Society 38B 140-148
[8]  
Mishra S.K.(1996)On sufficiency and duality for generalized quasiconvex nonsmooth programs Optimization 38 223-235
[9]  
Mukherjee R.N.(1994)Generalized ( Optimization 31 153-164
[10]  
Mishra S.K.(1992))-convexity and duality for nonsmooth multiobjective programs Optimization 26 277-285