[PDF] Top 20 A hybrid iterative method for a combination of equilibria problem, a combination of variational inequality problems and a hierarchical fixed point problem

... innovative, and general framework to study a wide class of problems arising in finance, economics, network analysis, transportation, elasticity, and optimization. This theory has witnessed an explosive growth in ... See full document

... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel ... See full document

... given fixed point problem, i.e., fixed points which solve a variational ...a method for finding hierarchically a fixed point of a nonexpansive semigroup S = {T(s)} ... See full document

... an iterative process for finding a common element of the set of common fixed points of infinitely many nonexpansive mappings, the set of solutions of ...the variational inequality ... See full document

... This alternative formulation has played a significant part in developing various projection- type methods for solving variational inequalities. We now have a variety of techniques to suggest and analyze various ... See full document

... The problem of finding a common element of the set of the variational inequalities for monotone mappings in the framework of Hilbert spaces and Banach spaces has been intensively studied by many authors; ... See full document

... On the other hand, let F : H → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, and let T : H → H be nonexpansive such that FixT / ∅. In 2001, Yamada 6 introduced the so-called ... See full document

... We now have a variety of techniques to suggest and analyze various iterative algorithms for solving variational inequalities and the related optimization problems; see [–]. The fixed-point ... See full document

... The hybrid steepest-descent method introduced by Yamada 2001 is an algorithmic solution to the variational inequality problem over the fixed point set of nonlinear mapping ... See full document

... Given a mapping T : C ® H, let G(x, y) = 〈 Tx, y - x 〉 for all x, y Î C. Then, z Î EP (F) if and only if 〈 Tz, y - z 〉 ≥ 0 for all y Î C, i.e., z is a solution of the variational inequality. Let A : C ® H ... See full document

... optimization problems, variational in- equalities, minimax problems, Nash equilibrium problems in noncooperative games and ...equilibrium problem (GEP), mixed equilibrium problem ... See full document

... the hierarchical fixed point problem ...tone variational inequalities and convex programming problems; see ...the hierarchical fixed point problem; see ...convergence ... See full document

... new 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 ... See full document

... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel ... See full document

... of variational inequalities defined over the intersection of the set of solutions of an equilibrium problem, the set of common fixed points of a finite family of nonexpansive mappings, and the solution set of ... See full document

... an iterative scheme by the viscosity iterative method for finding a common element of the solution set of an equilibrium problem, the solution set of the variational inequality, ... See full document

... for hierarchical fixed points and equilibrium problem,” Bulletin of the Australian Mathematical Society, ...general iterative algorithm for nonexpansive mappings ... See full document

... Evidently, the class of multi-valued demicontractive mappings properly includes the class of multi-valued quasi-nonexpansive mappings. The class of demicontractive mappings is impor- tant because several common types of ... See full document

... solution method for finding a fixed point of a nonexpansive mapping and a solution of split hierarchical Minty variational inequality ...proposed method to a common solution of a ... See full document

... an iterative method for finding an approximate solution of hierarchical fixed point problem ...and variational inequality problem ...This method can be viewed ... See full document