General mixed vector F-implicit complementarity problems in Banach spaces

• Autorzy: Wu K.-Q. , Huang N.-J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

mixed vector F-implicit complementarity problem; mixed vector F-implicit variational inequality; KKM-mapping; positively homogeneous mapping; ordered Banach space; upper semicontinuity; lower semicontinuity

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2008
• Tom: Vol. 14, nr 1
• Strony: 73--88
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Wu K.-Q.

autor

Huang N.-J.

• Jiangxi University of Science and Technology. Department of Mathematics, Ganzhou, Jiangxi, P. R. China,

Bibliografia

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