Displaying similar documents to “On the convergence of some methods for variational inclusions”

Sufficient Conditions of Optimality for Control Pproblem Governed by Variational Inequalities

Ndoutoume, James (1995)

Serdica Mathematical Journal

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* This work was completed while the author was visiting the University of Limoges. Support from the laboratoire “Analyse non-linéaire et Optimisation” is gratefully acknowledged. The author recently introduced a regularity assumption for derivatives of set-valued mappings, in order to obtain first order necessary conditions of optimality, in some generalized sense, for nondifferentiable control problems governed by variational inequalities. It was noticed that this regularity...

Strong convergence of an iterative method for variational inequality problems and fixed point problems

Xiao Long Qin, Shin Min Kang, Yong Fu Su, Mei Juan Shang (2009)

Archivum Mathematicum

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In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.

Singular perturbations for systems of differential inclusions

Marc Quincampoix (1995)

Banach Center Publications

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We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.