1 citations · 1 across the 5 of their papers we have counts for
7 papers
Forward-backward algorithms with different inertial terms for structured non-convex minimization problems
Szilárd Csaba László
We investigate two inertial forward-backward algorithms in connection with the minimization of the sum of a non-smooth and possibly non-convex and a non-convex differentiable funct…
Tikhonov regularization of a second order dynamical system with Hessian driven damping
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László
We investigate the asymptotic properties of the trajectories generated by a second-order dynamical system with Hessian driven damping and a Tikhonov regularization term in connecti…
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 $G(y)=\{x\in K: f(x,y)\not\in -\inte C\}.$…
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…
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(…
Generalized monotone operators on dense sets
Szilárd László, Adrian Viorel
In the present work we show that the local generalized monotonicity of a lower semicontinuous set-valued operator on some certain type of dense sets ensures the global generalized…
Applications of general variational inequalities to coincidence point results
Alireza Amini-Harandi, Szilárd László
In this paper we obtain some existence result of solution for general variational inequalities. As applications several coincidence and fixed point results are provided.