[PDF] Top 20 Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities

... Mann-type iterative format in [–, ] has been extended to the Ishikawa- type iterative format () in our Theorem ...their iterative formats (), (), () and () are some special cases of our ... See full document

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

... an iterative method for finding a common solution of a variational inequality, a generalized mixed equilibrium problem, and a hierarchical fixed point problem in the setting of real Hilbert ... See full document

... implicit hierarchical fixed point approach to variational inequalities,” Bulletin of the Australian Mathematical Society, ...“Strong convergence of an iterative ... See full document

... some iterative methods for VIP ...some strong convergence theo- ...of variational inequalities (GSVI) is to find (x ∗ , y ∗ ) ∈ C × C such ... 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 inequality ... See full document

... explicit iterative algorithms by hybrid viscosity approximation methods for finding a common element of the set of solutions of GSVI ...some strong convergence theorems under appropriate ...four ... See full document

... an iterative scheme of finding the best approximation to the initial data when EP(F) is ...an iterative method for finding the common element of the set F(T ) ∩ ∗ ∩ EP(F  ... See full document

... paper, fixed point problems of nonexpansive mappings and solution problems of generalized variational inequalities are investigated based on a viscosity approximate ... See full document

... Equilibrium problems which were introduced by Ky Fan [] and further studied by Blum and Oettli [] have intensively been investigated based on iterative ...rium problems have emerged as an effective ... See full document

... an iterative algorithm for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium prob- lem, and the solution set of the variational ... See full document

... explicit algorithm is introduced to solve the monotone variational inequality over a triple hierarchical ...The strong convergence for the proposed algorithm to the solution is ... See full document

... hybrid iterative scheme ...librium problems and the set of common fixed points of a sequence of nonexpansive ...of variational inequalities under some mild ... See full document

... the fixed points of the nonexpansive ...some iterative schemes for finding a common element of a set of the solutions of the equilibrium problems and a set of the fixed points of infinitely ... See full document

... two-step algorithm for hierarchical fixed point problems and variational inequalities, ...Liou, Iterative algorithms for hierarchical fixed points ... See full document

... ill-posed problems is to substitute the original problem by a family of well-posed ...regularized problems. We will use this idea to define and study a two-step algorithm to solve hierarchical ... See full document

... classical variational inequality (1.2) and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...approximation algorithm ... See full document

... new iterative scheme for approximating the solution of a triple hierarchical variational inequality ...the convergence analysis of the proposed iterative scheme for the considered ... See full document

... general iterative scheme for finding a solution of a split monotone variational inclusion with the constraints of a variational inequality and a fixed point problem of a finite family of strict ... See full document

... common point that lies in the solution set of a variational inequality and the set of fixed points of a nonexpansive ...following iterative method which combines Korpelevich ’ s extragradient ... See full document