Strong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces

Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces

In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex minimization problems.

Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces

In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via ...

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 Theorems for Variational Inequality Problems and Fixed Point Problems in Banach Spaces

In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a general variational inequality problem for finite inversestrongly accretive mappings and the set of common fixed points of a countable family of strict pseudocontractive mappings in a Banach space. We obtain a strong convergence theorem under some suitable conditions. Our results impr...