拓扑向量空间中的广义向量F-隐补问题

Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1528-1533.

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Generalized Vector F-implicit Complementarity Problems in Topological Vector Spaces

FENG Shi-Qiang, GAO Da-Feng, LI Jun

School of Mathematics and Information, China West Normal University, Sichuan Nanchong |637002

Received:2008-07-12 Revised:2009-12-22 Online:2010-12-25 Published:2010-12-25
Supported by:
国家自然科学基金(60804065)、四川省教育厅重点项目(07ZA123)和西华师范大学科研启动基金(08B075)资助

Abstract

Abstract:

In this work, the authors introduce a new class of vector F-implicit complementarity problems (for short, GVF-ICP) and two classes of
(strong and weak) vector F-implicit variational inequalities (for short, (GVF-IVI)₁ and (GVF-IVI)₂, respectively) in topological vector spaces. They present the equivalence between (GVF-ICP) and (GVF-IVI)₁ under homogeneity. They also derive some new existence theorems of solutions for (GVF-IVI)₂by using the KKM theorem under some suitable assumptions.

Key words: Generalized vector F-implicit complementarity problem, Generalized vector F-implicit variational inequality, Topological vector space, KKM theorem, Exsitence

CLC Number:

90J33

FENG Shi-Qiang, GAO Da-Feng, LI Jun. Generalized Vector F-implicit Complementarity Problems in Topological Vector Spaces[J].Acta mathematica scientia,Series A, 2010, 30(6): 1528-1533.

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Generalized Vector F-implicit Complementarity Problems in Topological Vector Spaces

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