[PDF] Top 20 Strong Convergence of an Implicit Iteration Process for a Finite Family of Uniformly Lipschitzian Mappings in Banach Spaces

... The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly L-Lipschitzian mappings in Banach spaces. The results ... See full document

... and strong convergence theorems of an implicit iteration process with errors to converge to common fixed points for a finite family of uniformly ... See full document

... composite implicit iteration process introduced by Su and Li ...A strong convergence theorem for approximation of common fixed points of finite family of k  strictly ... See full document

... The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly L-Lipschitzian mappings in Banach spaces. The results ... See full document

... nonexpansive mappings and a mapping which satisfies condition ( C ...consider strong convergence theorem of an implicit-shrinking iterative process for two nonexpansive mappings ... See full document

... of Lipschitzian pseudocontractive mapping, in 1974, Ishikawa introduced a new iteration it is called Ishikawa ...Ishikawa iteration can be replaced by the simpler Mann iteration has remained ... See full document

... nonexpansive mappings in Banach spaces, including Mann type iteration, Ishikawa type iteration, and three-step type iteration, have been studied by many authors (see, ...Mann ... See full document

... a uniformly convex Banach space with the Fr´echet differentiable norm ...Mann iteration algorithm has only weak convergence, in general, even for nonexpansive ...Mann’s iteration ... See full document

... the iteration process is defined. If one assumes that the iteration process is always defined, our result will hold for even the more general class of asymptotically hemicontractive maps ... See full document

... an implicit predictor-corrector iteration process for finitely many asymptoti- cally quasi-nonexpansive self-mappings on a nonempty closed convex subset of a Banach space ...the ... See full document

... the implicit iteration process ...a uniformly smooth Banach space and prove the strong convergence of the iterative process ...a finite family of ... See full document

... the implicit iteration process ...the strong convergence of the implicit process ...a finite family of nonexpansive ... See full document

... and strong convergence theorems for monotone Lipschitzian mappings were established by several authors 7, ...not Lipschitzian see 14, Remark ...new convergence theorem for a ... See full document

... In this paper we prove the strong convergence of a new iteration scheme to a common fixed point of a finite family of Lipschitz strongly pseudocontractive mappings in a real Banach spac[r] ... See full document

... prove that this iterative scheme converges weakly or strongly to a common fixed point of a finite family of asymptotically nonexpansive mappings in uniformly convex Banach spaces. The ... See full document

... and strong convergence of implicit iter- ation process with errors to a common fixed point for a finite family of nonexpansive mappings in Banach ... See full document

... Fixed-point iteration processes for nonexpansive and asymptotically nonexpansive map- pings including Mann-type and Ishikawa-type iterations have been studied extensively by many authors (see [–] and the ... See full document

... the convergence of the implicit iteration process ...two finite families of generalized asymptotically quasi-nonexpansive ...mappings. Strong convergence theorems ... See full document

... some strong convergence theorems of the modified Ishikawa and Mann iterations with errors of uniformly L-Lipschitzian asymptotically pseudocontractive mappings in real Banach ... See full document

... nonexpansive mappings have been studied by various authors (see, ...hybrid iteration method for nonexpansive mappings in Hilbert space; and then Osilike et ...arbitrary Banach spaces ... See full document