OPTIMALITY_CONDITIONS

作品数：64被引量：80H指数：5
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相关机构：延安大学南昌大学更多>>
相关期刊：《Computer Modeling in Engineering & Sciences》《Journal of Computational Mathematics》《Applied Mathematics and Mechanics(English Edition)》《Journal of Systems Science and Systems Engineering》更多>>
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The Optimality Conditions for Multiobjective Semi-infinite Programming Involving Generalized Unified （C, α, p, d）-convexity
《Chinese Quarterly Journal of Mathematics》2013年第2期241-249,共9页ZHANG Qing-xiang ZHANG Yong-zhan 
Supported by the Science Foundation of Shaanxi Provincial Educational Department Natural Science Foundation of China（06JK152）; Supported by the Graduate Innovation Project of Yanan uni- versity（YCX201003）
The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unif...
关键词：generalized convexity multiobjective semi-infinite programming efficient solution optimality conditions 
Higher-order Optimality Conditions for Henig Effcient Solution in Set-valued Optimization under Cone-convexlike Maps
《Chinese Quarterly Journal of Mathematics》2011年第3期415-419,共5页ZHANG Jian WANG Qi-lin 
Supported by the National Natural Science Foundation of China（10871216）; Supported by the Science and Technology Research Project of Chongqing Municipal Education Commission（KJ100419）; Supported by the Natural Science Foundation Project of CQ CSTC（cstcjjA00019）
This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for...
关键词：higher-order contingent(adjacent)set Henig effcient solutions higher-order optimality conditions set-valued optimization 
ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps被引量：10
《Chinese Quarterly Journal of Mathematics》2010年第1期104-109,共6页WANG Qi-liu 
Foundation item： Supported by the Natural Science Foundation of China（10871216）; Supported by the Natural Science Foundation Project of CQ CSTC（2008BB0346, 2007BB0441）; Supported by the Excellent Young Teachers Program of Chongqing Jiaotong University（EYT08-016） Acknowledgement The author would like to thank the anonymous referee for the valuable remarks that helped considerably to correct and to improve the presentation.
In locally convex Hausdorff topological vector spaces,ε-strongly efficient solutions for vector optimization with set-valued maps are discussed.Firstly,ε-strongly efficient point of set is introduced.Secondly,under ...
关键词：vector optimization ε-strongly efficient point nearly cone-subconvexlike setvalued maps ε-strongly efficient solutions the theorem of scalarization optimality conditions 
Optimality of Vector Optimization Involving Generalized Type-I Functions in Banach被引量：1
《Chinese Quarterly Journal of Mathematics》2009年第4期543-550,共8页QU He-mei XUE Zhen-xia 
Foundation item： Supported by the National Natural Science Foundation of China（60574075） University, engaged in optimization theory and application.
In this note,new classes of generalized type-I functions are introduced for functions between Banach spaces.These generalized type-I functions are then utilized to establish sufficient optimality conditions and dualit...
关键词：vector optimization optimality conditions type-I functions duality 
Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity被引量：1
《Chinese Quarterly Journal of Mathematics》2009年第2期200-210,共11页HU Qing-jie XIA O Yun-hai CHEN Nei-ping 
Foundation item： Supported by Hunan Provincial Natural Science Foundation of China（05JJ40103）; Supported by Soft Science Research Fund of Hunan Province（2006ZK3028）; Supported by Scientific Research Fund of Hunan Provincial Education Department（105B0707, 08C470）
In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal E-convex and related functions. Also, some dual results are establish...
关键词：semilocal E-convex functions fractional multiple objective programming optimality conditions DUALITY 
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