检索结果-内蒙古大学图书馆

Second-order duality in multiobjective programming involving (Fi>, α, pi>,di>)-V-type i functions

NUMERiCAL FUNCTiONAL ANALYSiS AND OPTiMiZATiON 2007年第11-12期28卷 1263-1277页

作者： Gulati, T. R. Agarwal, Divya Indian Inst Technol Dept Math Roorkee 247667 Uttar Pradesh India Inst Technol & Management Dept Appl Sci & Humanities Gurgaon India

in this paper a new class of second-order (F, alpha, p, d)-V-type i functions is introduced that generalizes the notion of (F, alpha, p, theta)-V-convex functions introduced by Zalmai (Computers Math. Appl. 2002;43:1489-1520) and (F, alpha, p, p, d)-type i functions defined by Hachimi and Aghezzaf (Numer. Funct. Anal. Optim. 2004, 25:725-736). Based on these functions, weak, strong, and strict converse duality theorems are derived for Wolfe and Mond-Weir type multiobjective dual programs in order to relate the efficient and weak efficient solutions of primal and dual problems.

关键词： efficiency generalized convexity multiobjective programming second-order duality type i functions

来源：评论

学校读者我要写书评

暂无评论

Second order duality in multiobjective programming involving generalized type i functions

引用

NUMERiCAL FUNCTiONAL ANALYSiS AND OPTiMiZATiON 2004年第7-8期25卷 725-736页

作者： Hachimi, M Aghezzaf, B Univ Ibn Zohr Fac Sci Juriduques Econ & Sociales Agadir Morocco Univ Hassan II Ain Chock Fac Sci Dept Math & Informat Casablanca Morocco

Recently Hachimi and Aghezzaf introduced the notion of (F, alpha, p, d)-type i functions, a new class of functions that unifies several concepts of generalized type i functions. in this paper, we extend the notion of (F, alpha, p, d)-type i functions to second order and establish several mixed duality results under second order generalized (F, alpha, p, p, d)-type i functions. Our results generalize the duality results recently given by Aghezzaf [Aghezzaf, B. (2003). Second order mixed type duality in multiobjective programming problems. J. Math. Anal. Appl. 285:97-1061 and Hachimi and Aghezzaf [Hachimi, M., Aghezzaf, B. (2004). Sufficiency and duality in differentiable multiobjective programming involving generalized type i functions.

关键词： multiobjective programming problem efficient solution second order duality type i functions second order generalized convexity mixed duality

来源：评论

学校读者我要写书评

暂无评论

Optimality and duality in nonsmooth multiobjective optimization involving generalized type i functions

引用

COMPUTERS & MATHEMATiCS WiTH APPLiCATiONS 2003年第10-11期45卷 1497-1506页

作者： Kuk, H Tanino, T Kyung Hee Univ Dept Math Sch Elect & Informat Yongin 449701 South Korea Osaka Univ Grad Sch Engn Dept Elect & Informat Syst Suita Osaka 5650871 Japan

A nonsmooth multiobjective optimization problem involving generalized type i vector-valued functions is considered. Karush-Kuhn-Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality theorems are proved for Wolfe type and Mond-Weir type duals under the generalized type i assumptions. (C) 2003 Elsevier Science Ltd. All rights reserved.

关键词： nonsmooth multiobjective optimization type i functions optimality duality

来源：评论

学校读者我要写书评

暂无评论

Second order duality for nondifferentiable multiobjective programming problem involving (Fi>, α, ρ, di>)-Vi>-type i functions

引用

OPTiMiZATiON LETTERS 2010年第2期4卷 211-226页

作者： Jayswal, Anurag Kumar, Dilip Kumar, Rajnish Birla Inst Technol Extens Ctr Dept Appl Math Patna 800014 Bihar India Birla Inst Technol Dept Appl Math Ranchi 835215 Jharkhand India

in this paper, new classes of second order (F, alpha, rho, d)-V-type i functions for a nondifferentiable multiobjective programming problem are introduced. Furthermore, second order Mangasarian type and general Mond-Weir type duals problems are formulated for a nondifferentiable multiobjective programming problem. Weak strong and strict converse duality theorems are studied in both cases assuming the involved functions to be second order (F, alpha, rho, d)-V-type i.

关键词： Nondifferentiable multiobjective programming Efficiency Generalized convexity Second order duality type i functions

来源：评论

学校读者我要写书评

暂无评论

Optimality and duality for a nonsmooth multiobjective optimization involving generalized type i functions

引用

MATHEMATiCAL METHODS OF OPERATiONS RESEARCH 2008年第3期67卷 493-504页

作者： Mishra, S. K. Wang, S. Y. Lai, K. K. Chinese Acad Sci Acad Math & Syst Sci Inst Syst Sci Beijing 100080 Peoples R China Govind Ballabh Pant Univ Agr & Technol Coll Basic Sci & Humanities Dept Math Stat & Comp Sci Pantnagar 263145 Uttar Pradesh India City Univ Hong Kong Dept Management Sci Kowloon Hong Kong Peoples R China

A nonsmooth multiobjective optimization problem involving generalized (F, alpha, rho, d)-type i function is considered. Karush-Kuhn-Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality results are obtained for mixed type dual under the aforesaid assumptions.

关键词： nonsmooth multiobjective optimization efficient solution type i functions generalized convexity mixed duality

来源：评论

学校读者我要写书评

暂无评论

Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type i functions

引用

JOURNAL OF MATHEMATiCAL ANALYSiS AND APPLiCATiONS 2006年第1期319卷 110-123页

作者： Hachimi, M Aghezzaf, B Univ Hassan II Fac Sci Ain Chock Dept Math & Informat Casablanca Morocco Univ Ibn Zohr Fac Sci Juriduques Econ & Sociales Agadir Morocco

Recently, Hachimi and Aghezzaf defined generalized (F, alpha, p, d)-type i functions, a new class of functions that unifies several concepts of generalized type i functions. in this paper, the generalized (F, alpha, p, d)-type 1 functions are extended to nondifferentiable functions. By utilizing the new concepts, we obtain several sufficient optimality conditions and prove mixed type and Mond-Weir type duality results for the nondifferentiable multiobjective programming problem. (c) 2005 Published by Elsevier inc.

关键词： nondifferentiable multiobjective programming problem efficient solution sufficiency type i functions generalized convexity duality

来源：评论

学校读者我要写书评

暂无评论

Sufficiency and duality in differentiable multiobjective programming involving generalized type i functions

引用

JOURNAL OF MATHEMATiCAL ANALYSiS AND APPLiCATiONS 2004年第2期296卷 382-392页

作者： Hachimi, M Aghezzaf, B Univ Hassan II Fac Sci Ain Chock Dept Math & Informat Casablanca Morocco Univ Ibn Zohr Fac Sci Jurid Econ & Sociales Agadir Morocco

in this paper, new classes of generalized (F, alpha, rho, d)-type i functions are introduced for differentiable multiobjective programming. Based upon these generalized functions, first, we obtain several sufficient optimality conditions for feasible solution to be an efficient or weak efficient solution. Second, we prove weak and strong duality theorems for mixed type duality. (C) 2004 Elsevier inc. All rights reserved.

关键词： multiobjective programming problem efficient solution sufficiency type i functions generalized convexity mixed duality

来源：评论

学校读者我要写书评

暂无评论

Higher-order duality for multiobjective programming problems involving (F, α, ρ, d)-V-type i functions

引用

Journal of Mathematical Modelling and Algorithms 2014年第2期13卷 125-141页

作者： Jayswal, Anurag Stancu-Minasian, i.M. Kumar, Dilip Department of Applied Mathematics Indian School of Mines Dhanbad Jharkhand 826 004 India Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy Calea 13 Septembrie No.13 Bucharest 050711 Romania Department of Applied Mathematics Birla Institute of Technology Mesra Ranchi Jharkhand 835215 India

A class of functions called higher-order (F, α, ρ, d)-V-type i functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for higher-order Wolfe and Mond-Weir type multiobjective dual programs in order to relate the efficient solutions of primal and dual problems. © Springer Science+Business Media Dordrecht 2013.

关键词： Efficiency Generalized convexity Higher-order duality Sublinearity type i functions

来源：评论

学校读者我要写书评

暂无评论

Generalized Univex functions in Nonsmooth Multiobjective Optimization

引用

Journal of Mathematical Modelling and Algorithms 2013年第4期12卷 393-406页

作者： Kharbanda, Pallavi Agarwal, Divya Sinha, Deepa Centre for Mathematical Sciences Banasthali University Rajasthan 304022 India Department of Applied Sciences and Humanities itm University Gurgaon 122017 India Department of Mathematics South Asian University New Delhi 110021 India

in this paper, we have considered a nonsmooth multiobjective optimization problem where the objective and constraint functions involved are directionally differentiable. A new class of generalized functions (d - ρ - η - θ)-type i univex is introduced which generalizes many earlier classes cited in literature. Based upon these generalized functions, we have derived weak, strong, converse and strict converse duality theorems for mixed type multiobjective dual program in order to relate the efficient and weak efficient solutions of primal and dual problem. © 2013 Springer Science+Business Media Dordrecht.

关键词： Directional derivative Efficient solution type i functions Univex functions

来源：评论

学校读者我要写书评

暂无评论

On nonsmooth multiobjective programming with generalized univexity

引用

JOURNAL OF iNTERDiSCiPLiNARY MATHEMATiCS 2007年第5期10卷 681-695页

作者： Mishra, S. K. Giorgi, G. Lai, K. K. GB Pant Univ Agr & Technol Coll Basic Sci & Humanities Dept Math Stat & Comp Sci Pantnagar Uttar Pradesh India City Univ Hong Kong Dept Management Sci Kowloon Hong Kong Peoples R China Univ Pavia Sect Gen & Appl Math Dept Management Sci Pavia Italy

A nonsmooth multiobjective optimization problem involving generalized Lipschitz univex functions is studied. Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient or properly efficient solution. Mond-Weir type and Mond-Zhang type duality results are obtained under the aforesaid assumptions.

关键词： Lipschitz univex functions type i functions optimality conditions duality efficiency

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：