Vista site - Existence theorems for some generalized quasivariational inclusion problems

Existence theorems for some generalized quasivariational inclusion problems [Các định lý về sự tồn tại cho một số bài toán bao hàm tựa biến phân tổng quát] / Lê Anh Tuấn,Phạm Hữu Sách // Vietnam Journal of Mathematics . -2005. -Vol 33. -No 1. -p. 111-122. -(eng). -ISSN 0866-7179.
Classification (rubrics): 27.17
Key words: Inclusion problems; Quasivariation; Existence theorems; Hausdorff spaces;

In this paper we give sufficient conditions for the existence of solutions of Problem (P1) (resp. Problem (P2)) of finding a point (zo, xo) E B(zo, xo) x A(xo) such that F(zo,xo,x) E C(zo,xo,xo) (resp. F(zo,xo,xo) E C(zo,xo,x)) for all x E A(xo), where A, B, C, F are set-valued maps between locally convex Hausdorff spaces. Some known existence theorems are included as special cases of the main results of the paper.

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