[PDF] Top 20 Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings

... Some weak and strong convergence theorems for monotone Lipschitzian mappings were established by several authors 7, ...Therefore, Theorems 5.7 and 5.8 provide a new ... See full document

... consider weak convergence theorems of implicit iterative pro- cesses for two nonexpansive mappings and a mapping which satisfy condition ...consider strong conver- gence ... See full document

... a countable family of weak relatively nonexpan- sive mappings and to prove strong convergence theorems in Banach ... See full document

... quasi-nonexpansive mappings in Banach ...for convergence of the Ishikawa iterates of a quasi-nonexpansive mapping on a closed convex subset of a Banach ...for nonexpansive mapping, ... See full document

... proved strong convergence and weak convergence theorems with the help of his process for the class of nonexpansive mappings in general Banach spaces and apply it to ... See full document

... interval [0, 1]. But Mann’s iteration process has only weak convergence, in general. For example, Reich [4] shows that if E is a uniformly convex Banach space and has a Frehet differentiable ... See full document

... proved weak and strong convergence theorems of this iteration process for finding common fixed points of two G-nonexpansive mappings in a uniformly convex Banach ... See full document

... only weak convergence the- orems with implicit iteration scheme ...composite implicit iteration schemes and modify them by hybrid method, so strong convergence ... See full document

... proved strong convergence result of Mann iteration for I-nonexpansive ...weakly convergence result for asymptotically I-nonexpansive mapping in Hilbert ...[8] weak and ... See full document

... the implicit iteration process (.) and to prove some strong and weak convergence theorems for a continuous pseudocontractive map- ping and a weak ... See full document

... “Strong convergence theorems for a generalized equilibrium problem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a Hilbert space,” ... See full document

... multistep iteration scheme with errors for finite family of asymptotically nonexpansive mappings is introduced and strong and weak convergence theorems of this ... See full document

... iterative process with errors for a finite family of quasi-nonexpansive multi-valued mappings and prove some strong and weak convergence theorems for such ... See full document

... the weak 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

... Mann’s Iteration scheme ...iterative process (.). There is no additional projec- tion involved in iteration scheme ...a strong convergence theorem for the iteration scheme ... See full document

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

... the convergence of the implicit iteration process ...quasi-nonexpansive mappings. Strong convergence theorems are obtained in the framework of real Banach ... See full document

... From the proof of Theorem 2.1, we give the following strong convergence theorem. Theorem 2.2. Let E be a real uniformly convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a ... See full document

... of implicit iteration process and more general class of nonexpansive and asymptotically nonexpansive mappings considered in this paper (see, ... See full document

... Senter and Dotson [] established a relation between condition (A) and demicompact- ness that the condition (A) is weaker than demicompactness for a nonexpansive mapping T defined on a bounded set. Every compact ... See full document