Convergence of Iterative Sequences for Fixed Point and Variational Inclusion Problems

An Iterative Scheme for Generalized Equilibrium, Variational Inequality and Fixed Point Problems Based on the Extragradient Method

The problem ofgeneralized equilibrium problem is very general in the different subjects .Optimization problems, variational inequalities, Nash equilibrium problem and minimax problems are as special cases of generalized equilibrium problem. The purpose of this paper is to investigate the problem of approximating a common element of the set of generalized equilibrium problem, variational inequal...

Iterative scheme based on boundary point method for common fixed‎ ‎point of strongly nonexpansive sequences

Let $C$ be a nonempty closed convex subset of a real Hilbert space $H$. Let ${S_n}$ and ${T_n}$ be sequences of nonexpansive self-mappings of $C$, where one of them is a strongly nonexpansive sequence. K. Aoyama and Y. Kimura introduced the iteration process $x_{n+1}=beta_nx_n+(1-beta_n)S_n(alpha_nu+(1-alpha_n)T_nx_n)$ for finding the common fixed point of ${S_n}$ and ${T_n}$, where $uin C$ is ...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

The Split Hierarchical Monotone Variational Inclusions Problems and Fixed Point Problems for Nonexpansive Semigroup

The purpose of this paper is to study a split hierarchical monotone variational inclusion problem which includes split variational inequality problems, split common fixed point problems, split monotone variational inclusion problems, split convex minimization problems, etc., as special cases, and fixed point problems for nonexpansive semigroup in the setting of Hilbert spaces. For solving this ...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems