[PDF] Top 20 Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem

... Let H be a real Hilbert space, whose inner product and norm are denoted by · , · and · . Let C be a nonempty closed convex subset of H and D be a mapping from C into H. A classical variational inequality ... See full document

... iterative algorithms for solving variational inequalities and the related optimization problems, see ...various algorithms for solving variational ...the variational inequalities and ... See full document

... iterative algorithms for solving variational inequalities and the related optimization problems; see ...various algorithms for solving variational ... See full document

... a common element of the set of fixed points of a family of finitely nonexpansive mappings, the set of solutions of mixed equilibrium problem and the set of solutions of a ... 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 ... See full document

... economics equilibrium, and so on. Moreover, it contains fixed point problems, optimiza- tion problems, complementarity problems, and systems of nonlinear equations as special cases (see [3, 12, 20–22, 29, ... See full document

... of variational inequalities defined over sets of solutions of equilibrium problem and fixed point ...problems. Fixed Point Theory ...for common solutions of ... See full document

... considered split variational inequality problem [], split common null point problem and Moudafi’s split feasibility problem, and derived the ... See full document

... the common set of solutions of ...of variational inequality problems, equilibrium problems, and hierarchical fixed point problems; see, ... See full document

... The main purpose of this paper is to introduce an explicit iterative algorithm to study the existence problem and the approximation problem of solution to the quadratic minimization problem. Under ... See full document

... the variational inequality 1.1 is denoted by VIA, C. Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of ... See full document

... a point u ∈ C such that v − u, Au ≥ 0, for all v ∈ ...of solutions of the variational inequality problem is denoted by VI(C, ...A). Variational inequalities were initially ... See full document

... a common fixed point of a k-strict pseudocontraction and of two sequences of nonexpansive ...of solutions of systems of two equilibrium ... See full document

... the common set of solutions of ...of variational inequality problem, a split equilibrium problem, and a hierar- chical fixed-point ... See full document

... a common solution of a variational inequality, a generalized mixed equilibrium problem, and a hierarchical fixed point ... See full document

... the split common fixed point problem, which is to find a fixed point of a quasi-pseudocontractive mapping in one space whose image under a linear transformation is a fixed point of ... See full document

... of fixed points of a κ-strict pseudo-contraction T : H → H such that FixT / ∅ and F : H → H is still η-strongly monotone and boundedly ...a point x 0 ∈ FixT arbitrarily, set C Sx 0 , 2Fx 0 ... See full document

... the solutions of the monotone variational inequalities of kind ...feasible solutions are fixed points of a pseudocontractive mapping T ... See full document

... Recently, many authors have investigated the solution problems of nonlinear operator equations or inequalities based on iterative methods; see, for instance, [–] and the references therein. In [], Kamimura and ... See full document

... the split convex minimization problem, the split variational inequality problem defined over the solution set of monotone variational inclusion problem, the ... See full document