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Digitale Medien

Vector Equilibrium Problems with Generalized Monotone Bifunctions (1997)

Bianchi, M. ; Hadjisavvas, N. ; Schaible, S.

Springer

Journal of optimization theory and applications 92 (1997), S. 527-542

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Details

ISSN: 1573-2878

Schlagwort(e): Vector equilibrium problems ; pseudomonotone bifunctions ; quasimonotone bifunctions

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract A vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locally convex vector space, find x *∈K such that $$F(x^* ,y) \nless 0$$ for all y∈K. This problem generalizes the (scalar) equilibrium problem and the vector variational inequality problem. Extending very recent results for these two special cases, the paper establishes existence of solutions for the unifying model, assuming that F is either a pseudomonotone or quasimonotone bifunction.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1022603406244

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