VARIATIONAL_INEQUALITY

作品数:135被引量:204H指数:7
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A New Fixed Point Theorem in L-Convex Spaces with Applications被引量:1
《Chinese Quarterly Journal of Mathematics》2013年第1期27-32,共6页WEM Kai-ting 
Foundation item: Supported by the Natural Science Foundation of Guizhou Province(J2011]2093)
In this paper, we present a new fixed point theorem in L-convex spaces and apply it to obtain a maximal element theorem, a variational inequality and a saddle point theorem in L-convex spaces.
关键词:fixed point maximal element variational inequality saddle point 
Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces
《Chinese Quarterly Journal of Mathematics》2011年第2期164-169,共6页SHANG Mei-juan WANG Zhi-guo 
Supported by the Natural Science Foundation of Hebei Province(A2010001943); Supported by the Science Grant of Beijing Jiaotong University(2011YJS075)
In this paper,we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces.Our results mainly improve the corresponding resul...
关键词:variational inequality Hilbert space relaxed(γ r)-cocoercive mapping 
On Variational Inequality and Fixed Point Problems
《Chinese Quarterly Journal of Mathematics》2011年第2期208-212,共5页LU Ai-xia WANG Qing-ling 
In this paper,A strong convergence theorem for a finite family of nonexpansive mappings and relaxed cocoercive mappings based on an iterative method in the framework of Hilbert spaces is established.
关键词:CONTRACTION fixed point nonexpansive mapping variational inequality 
A New GMλ-KKM Theorem and Its Application to Saddle Points
《Chinese Quarterly Journal of Mathematics》2010年第3期385-389,共5页WEN Kai-ting 
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department(2008072); Supported by the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)
In this paper,a new GMλ-KKM theorem is established for noncompact λ-hyperconvex metric spaces.As applications,the properties of the solution set of the variational inequality is shown and an existence theorem for sa...
关键词:λ-hyperconvex space λ-sub-admissible set noncompact measure variational inequality saddle point 
Generalized Bi quasi variational Inequalities in Locally Convex Topological Vector Spaces
《Chinese Quarterly Journal of Mathematics》1999年第3期43-53, ,共11页曾六川 
In this paper we investigate generalized bi quasi variational inequalities in locally convex topological vector spaces. Motivated and inspired by the recent research work in this field,we establish several existence t...
关键词:generalized bi  quasi  variational inequality locally convex topological vector space bilinear functional 
Generalized Quasi-Variational Inequalities on Paracompact Sets
《Chinese Quarterly Journal of Mathematics》1998年第3期81-85, ,共5页张昌斌 李岱 
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Taking advantage of result in [1], this paper studied generalized quasi variational inequalities on paracompact sets, unified and extended corresponding results in [4-6].
关键词:paracompact set generalized quasi  variational inequality 
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