On the solution existence of generalized vector quasi-equilibrium problems with discontinuous multifunctions
https://projecteuclid.org/euclid.twjm/1500405401Publisher, magazine: ,
Publication year: 2009
Lưu Trích dẫn Chia sẻAbstract
In this paper we deal with the following generalized vector quasiequilibrium problem: given a closed convex set K in a normed space X, a subset D in a Hausdorff topological vector space Y , and a closed convex cone C in Rn. Let Γ : K → 2K, Φ : K → 2D be two multifunctions and f : K×D×K → Rn be a single-valued mapping. Find a point (ˆx, yˆ) ∈ K×D such that We prove some existence theorems for the problem in which Φ can be discontinuous and K can be unbounded.
Tags: Solution existence, Generalized vector quasi-equilibrium problem, Implicit generalized quasivariational inequality, Lower semicontinuity, Upper semicontinuity, Hausdorff lower semicontinuity, C-convex, C-lower semicontinuity, C-upper semicontinuity.
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