[PDF] Top 20 Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces

... general iterative method ...of nonexpansive mappings, Shehu [] proposed an iterative method for nonexpansive semi- groups, variational inclusions, and generalized equilibrium ... See full document

... real Hilbert space, and B be a set-valued mapping with domain D(B) := { x ∈ H : B(x) = ∅} ...important problem for set-valued monotone mappings is to find x ∗ ∈ H such that  ∈ B(x ∗ ...zero point of ... 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 ...for ... See full document

... for split feasibility problem involving a uniformly asymptotically regular nonexpansive semigroup and a total asymptotically strict pseudocontractive mapping in Hilbert ... See full document

... Corollary 4.1. Let H 1 , H 2 and H 3 be real Hilbert spaces and C ⊂ H 1 , Q ⊂ H 2 be nonempty, closed and convex sets. Let A : H 1 → H 3 , B : H 2 → H 3 be bounded linear operators with their adjoint ... See full document

... hybrid iterative scheme for finding a common element of the set of solutions of mixed equilibrium problems, the set of common fixed points for nonexpansive semigroup and the set of solution of ... See full document

... of nonexpansive mappings and their generalizations have been studied by numerous authors (see, ...of nonexpansive mappings (and of common fixed points of nonexpansive semigroups) is an important ... See full document

... general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert ... See full document

... real Hilbert space, and B be a set-valued mapping with domain D (B) := { x ∈ H : B(x) = ∅} ...important problem for set-valued monotone mappings is to find x ¯ ∈ H such that  ∈ B¯ ...zero point of B. ... 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 ...the ... See full document

... and split fixed-point problems, ...following split common fixed-point ...real Hilbert spaces, let A : H 1 → H 3 , B : H 2 → H 3 be ... See full document

... a nonexpansive mapping to a finite of family of nonexpansive mappings and from a split equilibrium problem to a finite of family of split equilibrium ... See full document

... optimization, variational inequalities, semi group theory and evolution equations, among ...problems, variational inequality problems, saddle point problems, ...both Hilbert and Banach ... See full document

... dimensional Hilbert spaces, Censor and Elfving [] introduced the split feasibility problem for modeling inverse problems which arise from phase retrievals and in medical imagine ... See full document

... an iterative algorithm is introduced to solve the split common fixed point problem for asymptotically nonexpansive mappings in Hilbert ...The iterative algorithm presented ... 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

... the methods 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

... for a constant κ > 0. Existence and uniqueness of solutions are important problems of the VIF, C. It is known that if F is a strongly monotone and Lipschitzian mapping on C, then VIF, C has a unique solution. An ... See full document

... a split equality variational inclusion problem and the common fixed point set of a family of nonexpansive mappings, which is also an unique solution of a variational ... See full document

... Iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 5–8 and the references ...typical problem is to minimize a ... See full document