[PDF] Top 20 Strong convergence theorems for the general split variational inclusion problem in Hilbert spaces

... 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 ∗ ...real Hilbert ... See full document

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

... of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert ...some strong convergence theorems of the sequence generated by ... See full document

... and strong-convergence theorems of solutions to split a feasibility problem for a family of nonspreading-type mapping in Hilbert ...hierarchical variational inequality ... See full document

... the split common fixed point problem of quasi-nonexpansive map- pings in Hilbert ...a split common fixed point of other nonlinear mappings, such as nonspreading type mappings [], ... See full document

... equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert ...some strong convergence theorems which extend and generalize ... See full document

... real Hilbert space, and B : H H 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¯ ...real Hilbert ... See full document

... the split equality variational inclusion problem in Hilbert ...the split equality variational inclusion problem and fixed points of a family of nonexpansive ... See full document

... weak convergence in the infinite-dimensional space (except in the finite-dimensional ...obtain strong convergence, Xu [] proposed the following algorithm which was inspired by the Halpern iteration ... See full document

... the split feasibility problem in Hilbert spaces; see, for instance, ...in Hilbert spaces to Banach spaces and then obtained strong con- vergence theorems for ... See full document

... of general split feasibility problem, general split equality problem, and split variational inclusion problem in real Hilbert ...some ... 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 variational inequality ... See full document

... in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert ... See full document

... to variational inclusion, equilibrium and fixed point problems have been recently extensively investigated based on iterative methods; see [–] and the ref- erences ...of variational ... See full document

... Motivated by Suzuki’s result 1 and Nakajo-Takahashi’s results 2, He and Chen 3 recently proved a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hy- brid method in ... See full document

... The problem (.) is very general in the sense that it includes, as special cases, optimization problems, variational inequality problems, the Nash equilibrium problems and others, see, for instance, ... See full document

... a 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 ... See full document

... a general iterative algorithm, we study the problem of approx- imating a common element in the common fixed point set of an infinite family of non- expansive mappings, in the solution set of a ... See full document

... of split variational inclusion problem and fixed point problem of infinite family of non- expansive operators in a setting of real Hilbert ...more general classes of ... See full document

... which is also the optimality condition of the minimization problem. Thereafter, Li et al. [] and Cianciaruso et al. [] modified the general iterative method (.) to the case of non- expansive semigroups ... See full document