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SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES 总被引:3,自引:0,他引:3
1IntroductionA vector variational inequality(for short,VVI),as an important generalization of the clas-sical variational inequality,was first introduced and studied by Giannessi[6]in finite dimensionalEuclidean spaces.Later on,a VVI was studied and genera… 相似文献
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On the embedding of variational inequalities 总被引:1,自引:0,他引:1
B. Djafari Rouhani A. A. Khan 《Proceedings of the American Mathematical Society》2003,131(12):3861-3871
This work is devoted to the approximation of variational inequalities with pseudo-monotone operators. A variational inequality, considered in an arbitrary real Banach space, is first embedded into a reflexive Banach space by means of linear continuous mappings. Then a strongly convergent approximation procedure is designed by regularizing the embedded variational inequality. Some special cases have also been discussed.
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Pseudo-monotone complementarity problems in Hilbert space 总被引:1,自引:0,他引:1
In this paper, some existence results for a nonlinear complementarity problem involving a pseudo-monotone mapping over an arbitrary closed convex cone in a real Hilbert space are established. In particular, some known existence results for a nonlinear complementarity problem in a finite-dimensional Hilbert space are generalized to an infinite-dimensional real Hilbert space. Applications to a class of nonlinear complementarity problems and the study of the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions are given.This research was partially supported by the National Science Foundation Grant DMS-89-13089, Department of Energy Grant DE-FG03-87-ER-25028, and Office of Naval Research Grant N00014-89-J-1659. The authors would like to express their sincere thanks to Professor S. Schaible, School of Administration, University of California, Riverside, for his helpful suggestions and comments. They also thank the referees for their comments and suggestions that improved this paper substantially. 相似文献
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Vyacheslav V. Kalashnikov Natalia I. Kalashinikova 《Journal of Global Optimization》1996,8(3):289-294
An approach to solving a mathematical program with variational inequality or nonlinear complementarity constraints is presented. It consists in a variational re-formulation of the optimization criterion and looking for a solution of thus obtained variational inequality among the points satisfying the initial variational constraints.This research was supported by the Russian Fundamental Research Foundation, Grant No. 93-012-842 相似文献
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In this paper, we consider the global stability of solutions of a Weak Vector Variational Inequality in a finite-dimensional
Euclidean space. Upper semi-continuity of the solution set mapping is established. And by a scalarization method, we derive
a sufficient condition that guarantees the lower semi-continuity of the solution set mapping for the Weak Vector Variational
Inequality 相似文献
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在Hausdorff拓扑线性空间中,引入一类向量伪单调映射,讨论伪单调映射广义向量拟均衡问题系统的有效解与强解;在较弱的锥连续条件下,利用推广的极大元定理,建立两类解之间的联系,证明两类解的存在定理,而且得到解集的紧性。 相似文献
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Our aim in this paper is mainly to prove some existence results for solutions of generalized variational-like inequalities
with (η,h)-pseudo-monotone type III operators defined on non-compact sets in topological vector spaces. 相似文献
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引入一类向量伪单调映射,在Hausdorff拓扑线性空间中,利用向量映射的锥连续条件与极大元定理,讨论具控制结构的向量拟均衡问题系统,研究该问题的有效解及强解,得到这两类解的存在性与解集的紧性,并建立这两类解之间的联系。 相似文献