ISSN:
1573-2878
Keywords:
Vector equilibrium problems
;
pseudomonotone bifunctions
;
quasimonotone bifunctions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022603406244
