In this paper, we introduce implicit composite three-step Mann iterations for
finding a common solution of a general system of variational inequalities, a
fixed point problem of a countable family of pseudocontractive mappings and
a zero problem of an accretive operator in Banach spaces. Strong convergence
of the suggested iterations are given.
The purpose of this paper is to introduce a new modified relaxed extragradient method and study for finding some common solutions for a general system of variational inequalities with inversestrongly monotone mappings and nonexpansive mappings in the framework of real Banach spaces. By using the demiclosedness principle, it is proved that the iterative sequence defined by the relaxed extragradient method converges strongly to a common solution for the system of variational inequalities and nonexpansive mappings under quite mild conditions.
In this paper we consider the completely generalized multi-valued
co-variational inequality problem in Banach spaces and construct an iterative
algorithm. We prove the existence of solutions for our problem involving
strongly accretive operators and convergence of iterative sequences generated
by the algorithm.
In this paper, we are interested in the pseudomonotone variational inequalities and fixed point problem of pseudocontractive operators in Hilbert spaces. An iterative algorithm has been constructed for finding a common solution of the pseudomonotone variational inequalities and fixed point of pseudocontractive operators. Strong convergence analysis of the proposed procedure is given. Several related corollaries are included.
Hybrid viscosity CQ method for finding a common solution of a variational inequality, a general system of variational inequalities, and a fixed point problem
