[PDF] Top 20 Viscosity Approximation Methods for Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces

... of split variational inclusion problem and fixed point problem of infinite family of nonexpansive operators in a setting of real Hilbert ...Moudafi’s viscosity ... See full document

... Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications , vol. Wong, “Viscosit[r] ... See full document

... In this paper, we propose a new iterative scheme for finding a solution of SMVIP (1.3) with the constraints of a variational inequality and a fixed point problem of a finite family of strict ... See full document

... complementarity, variational inequalities, optimal control, mathematical eco- nomics, equilibria, and game ...of variational inclusions problems have been extended and generalized (see [] and the ... See full document

... on viscosity approximation method for quasi-nonexpansive mappings and split equality problems, in this paper we first intro- duce a general viscosity approximation method for ... See full document

... a split equilibrium problem and investigated the convergence behavior in several ways including both weak and strong ...new methods for solving it further need to be explored in the ...a split ... See full document

... on Hilbert space H), the problem () is equivalent to the well-known split feasibility problem ...The split equality problems allow asymmetric and partial relations between the variables x and ... See full document

... of split equilibrium problems and the set of common fixed points of a countable family of nonexpansive ...new methods to prove the main result of this ...a split variational inequality ... See full document

... real Hilbert space with inner product and norm are denoted by ·, · and · , respectively and let C be a nonempty closed convex subset of ...of fixed points of T , that is, FT {x ∈ C : Tx ... See full document

... 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

... of Hilbert spaces and Banach ...fixed point iterations which is supposed to induce the con- vergence in norm of the ...fixed point of T which satisfies some variational ... 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 ...a viscosity ... See full document

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

... tional inclusion problem and fixed point problem for a finite family of type-one demicon- tractive mappings between a Hilbert space and a Banach ... See full document

... a split variational inclusion and nonexpansive semigroups in Hilbert ...a split variational inclusion and the set of common fixed points of one-parameter nonexpansive ... See full document

... real Hilbert space, and B be a set-valued mapping with domain D(B) := { x ∈ H : B(x) = ∅} ...zero point of B. A well-known method for approximating a zero point of a maximal monotone mapping defined ... See full document

... the split equilibrium problem and the fixed point problem for a   -nonspreading multi-valued mapping and prove some weak conver- gence theorems in Hilbert ... See full document

... Throughout this paper, we denote the set of all nonnegative integers by N . Let H be a real Hilbert space with norm · and inner product · , · . Let C be a closed convex subset of H , and T a nonself-mapping from C ... See full document

... common fixed point x * of finite family of strict pseudo-contractive mappings which is the solution of the variational inequality 〈 (g f - μF ) x *, x - x * 〉 ≤ 0, ∀x ∈ N i=1 F(T i ) ... See full document

... a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method and the regularized iteration ...a ... See full document