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General Mixed Vector F-Implicit Complementarity Problems in Banach Spaces
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K.-Q. Wu
Published/Copyright:
June 9, 2010
Abstract
In this paper, we introduce a new class of general mixed vector F-implicit complementarity problems and general mixed vector F-implicit variational inequality problems, and study the equivalence between of them under certain assumptions in Banach spaces. We also derive some new existence theorems of solutions for the general mixed vector F-implicit complementarity problems and the general mixed vector F-implicit variational inequality problems by using the FKKM theorem under some suitable assumptions without monotonicity. Moreover, we establish sufficient conditions for the upper semicontinuity and lower semicontinuity of the solution mapping of the general mixed vector F-implicit variational inequality problems.
Key words and phrases.: Mixed vector F-implicit complementarity problem; mixed vector F-implicit variational inequality; KKM-mapping; positively homogeneous mapping; ordered Banach space; upper semicontinuity; lower semicontinuity
Received: 2007-05-30
Revised: 2007-11-29
Published Online: 2010-06-09
Published in Print: 2008-June
© Heldermann Verlag
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Articles in the same Issue
- Finite Partitions of Topological Groups into Congruent Thick Subsets
- Derivatives of Markov Kernels and Their Jordan Decomposition
- Sufficiency and Duality in Control Problems with Generalized Invexity
- Koebe Domains for the Classes of Functions with Ranges Included in Given Sets
- Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems
- Efficiency and Duality for Generalized Convex Multiobjective Programming
- General Mixed Vector F-Implicit Complementarity Problems in Banach Spaces
- Modelling and Products of Singularities in Colombeau's Algebra
- Set Differential Equations in Fréchet Spaces
- Positive Solutions for a Class of Nonresonant m-Point Boundary Value Problems
- Second Order Duality in Multiobjective Programming
