QUASICONVEXITY

作品数：8被引量：7H指数：1
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相关领域：理学更多>>
相关作者：安和平游兆永更多>>
相关机构：西安交通大学汉中师范学院更多>>
相关期刊：《Acta Mathematicae Applicatae Sinica》《Chinese Annals of Mathematics,Series B》《American Journal of Operations Research》《Applied Mathematics》更多>>
相关基金：国家自然科学基金更多>>
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Relaxation of Certain Integral Functionals Depending on Strain and Chemical Composition
《Chinese Annals of Mathematics,Series B》2013年第4期491-514,共24页Ana Margarida RIBEIRO Elvira ZAPPALE 
supported by the Portuguese Foundation for Science and Technology Fundaco para a Ciência e Tecnologia(No.SFRH/BPD/34477/2006);Financiamento Base 2010-ISFL/1/297 from FCT/MCTES/PT;Portuguese Foundation for Science and Technology Fundacao para a Ciê ncia e Tecnologia(Nos.UTACMU/MAT/0005/2009,PTDC/MAT/109973/2009)
The authors provide a relaxation result in BV×Lq, 1≤q<+∞ as the first step towards the analysis of thermochemical equilibria.
关键词：RELAXATION Functions of bounded variation QUASICONVEXITY 
An Existence Theorem of Solutions for the System of Generalized Vector Quasi-Variational-Like Inequalities
《American Journal of Operations Research》2013年第3期329-336,共8页Shamshad Husain Sanjeev Gupta Vishnu Narayan Mishra 
In this paper, we introduce and study the system of generalized vector quasi-variational-like inequalities in Hausdorff topological vector spaces, which include the system of vector quasi-variational-like inequalities...
关键词：The System of Generalized VECTOR Quasi-Variational-Like INEQUALITIES Fixed Point Theorem Open Lower Section Upper SEMICONTINUOUS C-Diagonal QUASICONVEXITY 
Solution Concepts and New Optimality Conditions in Bilevel Multiobjective Programming
《Applied Mathematics》2012年第10期1395-1402,共8页Francisque Fouodji Dedzo Laure Pauline Fotso Calice Olivier Pieume 
In this paper, new sufficient optimality theorems for a solution of a differentiable bilevel multiobjective optimization problem (BMOP) are established. We start with a discussion on solution concepts in bilevel multi...
关键词：Bilevel MULTIOBJECTIVE OPTIMIZATION MULTIOBJECTIVE OPTIMIZATION Sufficient Optimality Condition Strict CONVEXITY PSEUDOCONVEXITY QUASICONVEXITY 
The Arc Distortion in QH Inner ψ-uniform （or Convex） Domains in Real Banach Spaces
《Acta Mathematica Sinica,English Series》2011年第10期2039-2050,共12页Man Zi HUANG Xian Tao WANG 
Supported by National Natural Science Foundation of China （Grant No. 11071063）, Tianyuan Foundation （Grant No. 10926068） and Scientific Research Fund of Hunan Provincial Education Department （Grant No. 09C635）Acknowledgements The authors thank the referee very much for his （or her） careflfl reading of this paper and many useful suggestions and the support of the Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hu＇nan Province.
Let D and D＇ be domains in real Banach spaces of dimension at least 2. The main aim of this paper is to study certain arc distortion properties in the quasihyperbolic metric defined in real Banach spaces. In particul...
关键词：Uniform domain QH C-uniform domain inner uniform domain QH inner C-uniform domain convex domain quasihyperbolic geodesic neargeodesic QUASICONVEXITY real Banach space 
On Nonlinearly Elastic Membranes under Compression
《Chinese Annals of Mathematics,Series B》2006年第4期379-392,共14页Karim TRABELSI 
The classical equations of a nonlinearly elastic plane membrane made of Saint Venant-Kirchhoff material have been justified by Fox, Raoult and Simo （1993） and Pantz （2000）. We show that, under compression, the ass...
关键词：Nonlinear elasticity MINIMIZATION QUASICONVEXITY Quasiconvex envelope Rank- 1-convexity 
A Class of Cone Bounded Quasiconvex Mappings in Topological Vector Spaces
《Acta Mathematicae Applicatae Sinica》2003年第4期611-620,共10页Yu-daHu ChenLing 
Supported by the National Natural Science Foundation of China (No.70071026).
Within the context of cone-ordered topological vector spaces, this paper introduces the concepts of cone bounded point and cone bounded set for vector set. With their aid, a class of new cone quasiconvex mappings in t...
关键词：Cone convexity cone quasiconvexity cone bounded quasiconvexity cone semicontinuity 
TOPOLOGICAL　STRUCTURE　OF　EFFICIENT　SET　OF　OPTIMIZATION　PROBLEM　OF　SET－VALUED　MAPPING被引量：7
《Chinese Annals of Mathematics,Series B》1994年第1期115-122,共8页LI YUANXI 
This paper is concerned with the topological structure of efficient sets for optimizationproblem of set-valued mapping. It is proved that these sets are closed or. connected under someconditions on cone-continuity, co...
关键词：Optimization of set-valued mapping Vector optimization Efficient solution Cone-convexity Cone-quasiconvexity Closedness Connectedness. 
Sublinear and Homogeneous Quasiconcavity (Quasiconvexity) Properties of the Optimal Value Function in Parametric Nonlinear Programming
《Journal of Mathematical Research and Exposition》1990年第3期407-412,共6页游兆永 安和平 
In this paper, sublinear and homogeneous quasiconcavity (quasiconvexity) properties of the optimal value function in parametric nonlinear programming problem:is systematically researched. The homogeneous concavity and...
关键词：参数规划 最优值函数 拟凹凸性 
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