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SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES 被引量:2
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作者 方亚平 黄南京 《Acta Mathematica Scientia》 SCIE CSCD 2005年第4期587-593,共7页
In this paper, the authors introduce and study system of generalized vector variational inequalities. Under suitable conditions, the existence of solutions for system of generalized vector variational inequalities is ... In this paper, the authors introduce and study system of generalized vector variational inequalities. Under suitable conditions, the existence of solutions for system of generalized vector variational inequalities is presented by Kakutani-Fan-Glicksberg fixed point theorem. 展开更多
关键词 System of generalized vector variational inequalities pseudo-monotone type mapping KKM mapping Kakutani-Fan-Glicksberg fixed point theorem.
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ON RELATIONS BETWEEN MULTICLASS,MULTICRITERIA TRAFFIC NETWORK EQUILIBRIUM MODELS AND VECTOR VARIATIONAL INEQUALITIES 被引量:1
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作者 Shengjie LI Guangya CHEN 《Journal of Systems Science and Systems Engineering》 SCIE EI CSCD 2006年第3期284-297,共14页
关键词 Traffic network equilibrium model equilibrium principle vector variational inequality
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ON VECTOR NETWORK EQUILIBRIUM PROBLEMS 被引量:1
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作者 Guangya CHEN 《Journal of Systems Science and Systems Engineering》 SCIE EI CSCD 2005年第4期454-461,共8页
关键词 Network equilibrium problem vector variational inequality weak equilibrium
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On Bilevel Variational Inequalities
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作者 Zhongping Wan Jia-wei Chen 《Journal of the Operations Research Society of China》 EI 2013年第4期483-510,共28页
A class of bilevel variational inequalities(shortly(BVI))with hierarchical nesting structure is firstly introduced and investigated.The relationship between(BVI)and some existing bilevel problems are presented.Subseq... A class of bilevel variational inequalities(shortly(BVI))with hierarchical nesting structure is firstly introduced and investigated.The relationship between(BVI)and some existing bilevel problems are presented.Subsequently,the existence of solution and the behavior of solution sets to(BVI)and the lower level variational inequality are discussed without coercivity.By using the penalty method,we transform(BVI)into one-level variational inequality,and establish the equivalence between(BVI)and the one-level variational inequality.A new iterative algorithm to compute the approximate solutions of(BVI)is also suggested and analyzed.The convergence of the iterative sequence generated by the proposed algorithm is derived under some mild conditions.Finally,some relationships among(BVI),system of variational inequalities and vector variational inequalities are also given. 展开更多
关键词 Bilevel variational inequalities Bilevel programs System of variational inequality vector variational inequality Penalty method
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