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1 Journal of Applied Analysis

1 2008

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General mixed vector F-implicit complementarity problems in Banach spaces

Wu K.-Q., Huang N.-J.

Journal of Applied Analysis

2008

Vol. 14, nr 1

73-88

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 alsoderive some new existence theorems of solutions for the general lllixed 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.