Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems

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On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems (2006, unknown): “Let X = Y = R,Λ ≡ M = [1,2],C = R+,K(λ) = [λ − 1,1] and F(x, y,λ) = (−∞, |λx|1/2(|x|1/4 − y)].”
Sensitivity for parametric vector equilibria (2006, background): “Recently, some efforts have been made to study the upper and the lower hemicontinuities for the parametric equilibrium problems with the set-valued maps in the vector spaces (see, for instance, [1]).”
Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems (2008, background): “Lower semicontinuity is studied in [19] for minimization problems, in [12, 16, 17] for variational inequalities, and in [3, 5, 7, 8, 14] for equilibrium problems.”
On the Stability of the Solution Sets of General Multivalued Vector Quasiequilibrium Problems (2007, background): “If G(x, η) ={ x} then the first three cases of our problem coincide with problem (QEP) in [ 3 ].”
Hölder Continuity of the Unique Solution to Quasiequilibrium Problems in Metric Spaces (2009, background): “Beside them we observe only [7–13] which are devoted to various kinds of semicontinuity of solution sets.”