[PDF] Top 20 A Viscosity Approximation Method for Finding Common Solutions of Variational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces

... Corollary 3.4 see Peng et al. 9. Let H be a real Hilbert space, let F be a bifunction from C×C → R satisfying (A1)–(A4) and let S be a nonexpansive mapping on H. Let A : H → H be an α- inverse-strongly monotone ... See full document

... iterative method for finding a common element of the set of fixed points of nonexpansive mappings, the set of solutions of a finite family of variational inclusions with set-valued maximal ... See full document

... of fixed points of S by FS. There are some methods for approximation of fixed points of a nonexpansive ...the viscosity approximation method for nonexpansive mappings see 5 for ... See full document

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

... descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and ... See full document

... iterative method of finding the best approximation to the initial data when EPΘ is nonempty and proved a strong convergence ...the viscosity approximation method for ... See full document

... the viscosity approximation method for find- ing a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping ... See full document

... iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a β-inverse- ... See full document

... the fixed point x ∗ , which solves the quadratic minimization problem ...the approximation problem of the solution to the quadratic minimization problem ... See full document

... steepest-descent method [20] and Colao, Marino and Xu’s hybrid viscosity approximation method [14] (see also [10]), we intro- duce a hybrid iterative method for finding a ... See full document

... of solutions of GMEP ...of equilibrium problems and variational inequalities as special ...mixed variational inequalities. The viscosity approximation method is one ... See full document

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

... iterative method for finding an element of the common set of solutions of ...real Hilbert spaces. This method can be viewed as a refinement and improvement of some existing methods ... See full document

... of finding solutions of split variational inclusion problem and Moudafi’ s viscosity ap- proximation, Kazmi and Rizvi [22] presented an explicit viscosity approximation ... See full document

... a viscosity approximation method for solving common solutions of variational inequality and fixed point ...a viscosity iterative method is ...of ... See full document

... the viscosity approximation method to find a common element of the set of common fixed points for two infinite families of strictly pseudocontractive mappings and the set of ... See full document

... real sequence in [a, ∞ ), where a is some positive real number. In a uniformly smooth and strictly convex Banach space, which also enjoys the Kadec-Klee property, the author ob- tained a strong convergence theorem; for ... See full document

... real Hilbert space, C be a nonempty, closed and convex subset of H, T := {T(t) : t ≥ 0} : C → C be a nonexpansive semigroup with F( T ) := t≥0 F(T(t)) = ∅ and the mapping t a ||T(t)x - y|| 2 is measurable for each ... See full document

... iterative method by using the K-mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert ...iterative method is ... See full document

... generalized equilibrium problem ...the equilibrium problem when the bifunction h is a zero mapping; this problem reduces to the mixed equilibrium problem when the bifunction h(x ∗ , x) = ϕ(x) – ϕ(x ∗ ... See full document