[PDF] Top 20 Hierarchical Convergence of a Double-Net Algorithm for Equilibrium Problems and Variational Inequality Problems

... of equilibrium problems ...The equilibrium problem ...optimization problems, variational inequalities, fixed point problems, minimax problems, Nash equilibrium ... See full document

... In nonlinear analysis, a common approach to solving a problem with multiple solutions is to replace it by a family of perturbed problems admitting a unique solution and to obtain a particular solution as the limit ... See full document

... strong convergence to the minimum-norm solution of the optimization ...gradient-projection algorithm with regularization and proved the strong convergence of the sequence to the minimum-norm solution ... See full document

... 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 mapping, ... See full document

... erative algorithm based on a hybrid relaxed extragradient method for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational ... See full document

... an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert ...strong convergence theorem which is connected with Combettes and Hirstoaga’s result 3 and Wittmann’s result ... See full document

... split hierarchical monotone variational inclusion problem (SHMVIP) which includes split variational inequality problems, split monotone variational inclusion problems, ... See full document

... iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, the set of common fixed points of a finite family of pseudo contraction ... See full document

... split hierarchical variational inequality ...weak convergence of such algorithm is ...proposed algorithm and the convergence ... See full document

... iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth ...point problems of strict pseudocontractive mappings, variational inequality problems ... See full document

... converges strongly to a fixed point x ∗ of T, also the solution of a variational inequality. As a special case, this projection method solves some quadratic minimization problem. The results here improve and ... See full document

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

... Equilibrium problems theory provides us a natural, novel and unified framework to study a wide class of problems arising in economics, finance, transportation, network and struc- tural analysis, ... See full document

... Minty variational inequality ...an algorithm for solving our problem and establish a convergence result under some ...split hierarchical variational inequality ...related ... See full document

... projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of the variational inequality for an inverse-strongly monotone operator and the ... See full document

... complementarity problems and variational inequalities,” in Handbook of Generalized Convexity and Generalized Monotonicity, ...“Iterative algorithm for generalized set-valued ... See full document

... Throughout this article, unless otherwise specified, we use the following notations. Let X be a nonempty closed subset of a metric space (E, d); Y be a Huasdorff topological vector space; and Λ and P be two nonempty ... See full document

... G(T ) of T is not properly contained in the graph of any other monotone mapping. It is well known that a monotone mapping T is maximal if and only if, for any (x, f ) ∈ H × H, x – y, f – g ≥  for all (y, g) ∈ G(T) ... See full document

... a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-point set of a strictly pseudocontractive mapping in a real Hilbert ...our ... See full document

... implicit algorithm for finding a common element of the set of solutions of a sys- tem of equilibrium problems SEP(℘) for a family ℘ = { G k ; k = 1, 2 · · · , K } of bifunctions and ... See full document