[PDF] Top 20 Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi--Nonexpansive Mapping in Banach Space

... the implicit iterative process, defined in 16, to I -asymptotically quasi-nonexpansive mapping defined on a uniformly convex Banach ...real Banach space X ... See full document

... an implicit iterative process for two nonexpansive mappings in Banach ...a Banach space, and let C be a nonempty closed convex subset of E, and let T, S: C ® C be two ... See full document

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

... The set of solutions of (.) is denoted by EP(f ). The equilibrium problem is very general in the sense that it includes, as special cases, optimization problems, variational inequal- ity problems, min-max problems, ... 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 convergence ... See full document

... of asymptotically nonexpansive mappings was introduced by Geobel and Kirk ...convex Banach space, then every assymptotically nonexpansive self-mapping of K has a fixed ...every ... See full document

... Let us recall some definitions and known results in the existing literature on this concept. Let (X, d) be a metric space and K its nonempty subset. Let T : K → K be a mapping. A point x ∈ K is called a fixed ... See full document

... investigate weak and strong convergence results of an algorithm with error terms under appropriate conditions on the control sequences of ...that weak convergence results: Theorems 1-2 ... See full document

... the Banach space E is said to be smooth provided lim t→ x+ty–y t exists for each x, y ∈ ...duality mapping J is single valued. A Banach space E is said to have the Kadec-Klee property ... See full document

... Some weak and strong convergence theorems for monotone Lipschitzian mappings were established by several authors 7, ...continuous mapping which is not Lipschitzian see 14, Remark ...new ... See full document

... an implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly con- vex Banach ... See full document

... proved strong and weak convergence theorems for a pair of nonself asymptotically nonexpansive mappings in a uniformly convex Banach ...the strong convergence of the ... See full document

... real Banach space with norm ||·||, E* is the dual space of E; 〈·, ·〉 is the duality pairing between E and E*; C is a nonempty closed convex subset of E; N denotes the natural number set; ℜ + is the ... See full document

... generic iteration algorithm for a finite family of total asymptotically quasi- nonexpansive maps in uniformly convex Banach space is ...as weak / strong ... See full document

... of asymptotically nonexpansive mappings which is a unique solution of some variational ...one implicit and another explicit, from which strong convergence theorems are obtained in a ... See full document

... of asymptotically nonexpansive mappings in Banach ...a Banach space and gave weak and strong convergence theorems for asymptotically nonexpansive ... See full document

... two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the ... See full document

... S-iteration process to converge to common fixed point for two nearly asymptotically nonexpansive mappings in the framework of Banach ...some strong convergence theorems ... 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

... 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 ... See full document