The solution existence of general variational inclusion problems

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Semicontinuity of Solution Sets to Parametric Quasivariational Inclusions with Applications to Traffic Networks II: Lower Semicontinuities Applications (2008, unknown): “Let E(λ) := {x ∈ D | x ∈ S1(x ,λ )}. For the sake of simplicity of presentation, throughout the paper, we assume that Srα(λ, μ, η) � for all (λ, μ, η) in a neighborhood of (λ0 ,μ 0 ,η 0) ∈ Λ × M × N. (About conditions for the solution existence in quasivariational inclusion problems see Hai and Khan”
An Abstract Problem in Variational Analysis (2008, background): “This definition was given in [19] which generalizes the concept of diagonal quasiconvexity and quasiconvex-likeness of [23].”
Hölder Continuity of the Unique Solution to Quasiequilibrium Problems in Metric Spaces (2009, background): “recent papers [16–23] and the bibliography therein, we focalize our attention only on stability properties assuming always the solution existence in a neighborhood of the considered pair (λ0,μ0).”