A Perturbed Algorithm for Variational Inclusions

A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

We introduce a new general iterative method for finding a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solution of generalized mixed equilibrium problems, and the set of solutions of the variational inclusion for a β-inverse-strongly monotone mapping in a real Hilbert space. We prove that the sequence converges strongly to a common element of the a...

Improved Convergence Analysis of Mixed Secant Methods for Perturbed Subanalytic Variational Inclusions

We present a local convergence analysis of mixed secant method in order to approximate solutions of variational inclusions. The local convergence results are given under weaker conditions than in earlier studies such as [4], resulting to a more precise error analysis and the extension of the applicability of the method. A numerical example illustrating the advantages of our approach is also pre...

Projection Algorithms for Variational Inclusions

An Iterative Algorithm for Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

Copyright q 2010 Yeong-Cheng Liou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We present an iterative algorithm for finding a common element x * of the set of solutions of a mixed equilibrium problem and the set of a variatio...

Existence Theory for Perturbed Hyperbolic Differential Inclusions

In this paper, the existence of solutions and extremal solutions for a perturbed hyperbolic differential inclusion is proved under the mixed generalized Lipschitz and Carathéodory’s conditions.