[PDF] Top 20 An Iterative Algorithm for Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

... The mixed equilibrium problems include fixed point problems, optimization problems, variational inequality problems, Nash equilibrium problems, and the ... See full document

... 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 ... See full document

... general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many ... See full document

... It is known that the hierarchical fixed point problem (.) links with some monotone vari- ational inequalities and convex programming problems; see []. Various methods have been proposed to solve the ... See full document

... relaxed iterative algorithm by virtue of Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, the regularization method, and the averaged mapping ... See full document

... an iterative algorithm by multi-step implicit hybrid steepest-descent method for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium ... See full document

... It is well known that the hierarchical fixed point problem (.) links with some mono- tone variational inequalities and convex programming problems; see []. Various meth- ods have been proposed to ... See full document

... extragradient algorithm and multi-step composite Mann-type viscosity iterative algorithm for finding a solution of triple hierarchical variational inequalities defined over the common set ... See full document

... set-valued inclusions problem, which was introduced and discussed by Bella [], Huang et ...the variational inclusion (inequality) is an important context in the set-valued inclusions prob- ...of ... See full document

... general iterative method for finding a common element of the set of solutions generalized for mixed equilibrium problems, the set of solution for fixed point for nonexpansive mappings and the ... See full document

... nonlinear variational inclusions for random fuzzy ...nonlinear mixed variational inclusions for random fuzzy mappings and constructed an iterative algorithm for solving ... See full document

... for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued maximal monotone mappings and inverse-strongly monotone mappings, and the set of fixed ... See full document

... hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone ... See full document

... an equilibrium problem, the set of fixed points of a nonexpansive mapping and the set of solutions of a variational ...an equilibrium problem, the set of fixed points of a nonexpansive mapping, and ... See full document

... the variational inequality problem (A). One frequently employed approach in solving the variational inequality problems is the approximation ...solving variational inequality ... See full document

... of equilibrium problems, known as mixed quasi invex equilibrium (or equilibrium-like) ...invex equilibrium problems includes equilib- rium problems, ... See full document

... the variational inclusion ...complementarity problems, variational inequalities, op- timal control, mathematical economics, equilibria and game theory, ... See full document

... The concept of quasi-nonexpansive mapping was investigated by Diaz and Metcalf []. In , Su et al. [] introduced strong convergence theorems for quasi-nonexpansive mappings, the monotone hybrid iteration method used ... See full document

... Find x ∗ ∈ F (T) such that h(I − S)x ∗ , x − x ∗ i ≥ 0, ∀x ∈ F (T ), (1.2) where T and S are nonexpansive mappings such that F (T ) is nonempty. It is easy to see that x ∗ is a solution of the variational ... See full document

... x ∗ ∈ F = ∩ ∞ i=1 Fix(T i ) ∩ Fix(ϕ) ∩ EP(J ) ∩ VI(C, A) ∩ VI(C, B), where x ∗ = P F f (x ∗ ) . Compared to the similar works, our results have the merit of studying the solutions of systems of equilibrium ... See full document