Existence of solutions of generalized quasivariational inequalities with set-valued maps
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Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
This paper gives existence theorems for solutions of the problem of finding a point (z0, x0, y0) ∈ B(z0, x0)×A(x0)×F(z0, x0, x0) such that, for all x ∈ A(x0), F(z0, x0, x) − y0 6⊂ C(z0, x0, x0), where A, B, C and F are setvalued maps between topological vector spaces. Our results generalize some known existence theorems for quasivariational inequalities.
Tags: Generalized quasivariational inequalities, set-valued maps, acyclic maps, proper quasiconcavity
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