[PDF] Top 20 Shrinking projection methods for solving split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in Hilbert spaces

... two equilibrium problems, that is, we find out the solution of one equilibrium problem, ...another equilibrium problem. In order to find a common solution of equilibrium problems, ... See full document

... We note that -hybrid is nonexpansive, -hybrid is nonspreading, and if S is λ-hybrid with F(S) = ∅ , then S is quasi-nonexpansive. It is well known [] that if S is λ-hybrid, then F(S) is closed. In ... See full document

... hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...mappings. Fixed ... See full document

... of fixed points of a nonexpansive mapping and in the set of solutions of the equili- brium problem ...iterative methods in the framework of real Hilbert spaces; see, for instance ... See full document

... hybrid projection iterative scheme based on the shrinking projection method for finding a common ele- ment of the set of solutions of the generalized mixed equilibrium problems, the set ... See full document

... method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ... See full document

... Recently, Xu [] gave a continuation of the study on the CQ algorithm and its conver- gence. He applied Mann’s algorithm to the SFP and proposed an averaged CQ algorithm, which was proved to be weakly convergent to a ... See full document

... fixed point theorems of a *-nonexpansive multi- valued mapping and the strong convergence of its iterates to a fixed point defined on a closed and convex subset of a Hilbert space by using the ... See full document

... The split feasibility problem (SFP) in finite dimensional spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical image ... See full document

... quasi-φ-asymptotically nonexpansive (see [–]) and total quasi-φ-asymptoti- cally nonexpansive (see [–]) ...hybrid projection al- gorithm to obtain strong convergence theorems for fixed ... See full document

... hybrid projection method for finding a common solution of a system of equilibrium problems of bifunctions satisfying certain conditions and a common solution of fixed point problems of a ... See full document

... The split feasibility problem (SFP) in finite-dimensional spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical image ... See full document

... • The corresponding iterative algorithms in [], Theorem . and [], Theorem . are extended for developing our Ishikawa-type extra-gradient iterative algorithm involved in pseudo-contractive mappings with ... See full document

... -asymptotically nonexpansive semigroups; to modify the Halpern and Mann-type iteration algorithm [, ] for total quasi-φ-asymptotically nonexpansive semigroups; and to have the strong ... See full document

... fixed point problems, and zero point problems have been investigated by many authors based on iterative methods; see, for example, [–] and the references ...zero point ... See full document

... of T under some proper conditions. In addition, we also introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of asymptoti- cally nonexpansive mappings and the ... See full document

... In , Takahashi and Takahashi [] introduced an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions (.) and the set of fixed points of a nonexpansive ... See full document

... We also remark that the viscosity approximation method was first introduced by Moudafi [] in the framework of Hilbert spaces. Moudafi proved that the desired so- lution is not only a fixed point of ... See full document

... Fixed point theory of nonlinear mapping is a popular research topic of common interest in two areas of nonlinear analysis and ...fixed point techniques have been applied in such diverse fields as ... See full document

... Corollary . Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. Let C be a nonempty closed and convex subset of E. Let f be a bifunction from C × C to R satisfying ... See full document