Original scientific paper
On the generalized vector F-implicit complementarity problems and vector F-implicit variational inequality problems
A. P. Farajzadeh
A. Amini-Harandi
M. A. Noor
Abstract
In this paper, we introduce and analyze some new classes of generalized vector-F implicit complementarity problems and the general mixed vector-F variational inequalities. Under suitable conditions, we prove the equivalences between these new problems. We establish several existence theorems for these classes of vector-F complementarity and general mixed vector-F variational inequalities using a new version of the Fan-KKM theorem in Hausdorff topological vector spaces, and without even using the classical assumptions in this context, like monotonicity or continuity. Results obtained in this paper represent significant improvement and refinement of the previously known results.
Keywords
topological vector space; vector F-implicit complementarity problems; KKM mapping; vector F-implicit variational inequality problems; positively homogeneous mapping
Hrčak ID:
17962
URI
Publication date:
7.12.2007.
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