Multi-step implicit iterative methods with regularization for minimization problems and fixed point problems

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

(S1/2) regularization methods and fixed point algorithms for affine rank minimization problems

The affine rank minimization problem is to minimize the rank of a matrix under linear constraints. It has many applications in various areas such as statistics, control, system identification and machine learning. Unlike the literatures which use the nuclear norm or the general Schatten q (0 < q < 1) quasi-norm to approximate the rank of a matrix, in this paper we use the Schatten 1/2 quasi-nor...

iterative methods for equilibrium problems, variational inequalities and fixed points

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.

Strong convergence of composite iterative methods for equilibrium problems and fixed point problems

An iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space has been studied. We prove a strong convergence theorem under mild assumptions.