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math.FA2017
On Perturbed Weak Vector Equilibrium Problems under new Semi-continuities
Szilárd László
In this paper we introduce a new semicontinuity notion, which is weaker than upper semicontinuity, and assures the closedness of the sets $G(y)=\{x\in K: f(x,y)\not\in -\inte C\}.$…
math.FA2017
A Primal-Dual Approach of Weak Vector Equilibrium Problems
Szilárd László
In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordere…
math.DS2017
Second order dynamical systems with penalty terms associated to monotone inclusions
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László
In this paper we investigate in a Hilbert space setting a second order dynamical system of the form $$\ddot{x}(t)+\g(t)\dot{x}(t)+x(t)-J_{λ(t) A}\big(x(t)-λ(t) D(x(t))-λ(t)β(t)B(x(…