[PDF] Top 20 Approximating fixed points of generalized nonexpansive mappings via faster iteration schemes

... every nonexpansive self-mapping defined on every weakly compact and convex subset of E has a fixed ...weak fixed point property. Here, it can be pointed out that a nonexpansive self-mapping ... See full document

... of mappings (1.6)- (1.7) and prove a couple of fixed point theorems under a generalized contraction condition with a different method which in turn generalize fixed point theorems of Bose and ... See full document

... If T satisfies Condition-A, where F is the nonempty fixed point set of T in C, then, for an arbitrary x0 C, the Picard iterates {S"x0} converge to a member of F.. We may note that C need[r] ... See full document

... Ishikawa iteration process to prove some convergence theorems for nonexpansive mappings in Banach ...for generalized nonexpansive mappings, which, in turn, generalize the ... See full document

... of generalized asymptotically nonexpansive mapping and gave a necessary and sufficient condition for the modi- fied Ishikawa and Mann iterative sequences to converge to fixed points for the class of ... See full document

... step iteration scheme for approximation of fixed points of the nonexpansive ...our iteration process is faster than all of the Picard, the Mann, the Agarwal et ... See full document

... for approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...hybrid iteration ... See full document

... further generalized by Musielak and Orlicz ...nonlinear mappings is an important subject of nonlinear functional anal- ysis and is widely applied to nonlinear integral equations and differential ...for ... See full document

... a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in the framework of Banach ... See full document

... an iteration process for approximating common …xed points of two nonself asymptotically nonexpansive mappings in Banach ...Mann iteration process and some other processes for ... See full document

... For nonexpansive multivalued mappings, Sastry and Babu [19] defined the Mann and Ishikawa iteration process in a Hilbert space. Panyanak [20], and Song and Wang [16] extended the re- sults of Sastry ... See full document

... for approximating fixed points of nonexpansive mappings and their generalizations (asymptotically nonexpansive mappings, ...Mann iteration method (see, e.g., [7]) ... See full document

... point iteration processes for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes ... See full document

... Ishikawa iteration sequences in hyperspaces, and establish the con- vergence theorems for the Mann and Ishikawa iteration sequences dealing with nonex- pansive mappings in ... See full document

... hybrid iteration method is investigated for approximating fixed points of asymptotically nonexpansive ...for nonexpansive mappings in Hilbert spaces, ... See full document

... 1. Introduction. Let D be a nonempty, closed, and convex subset of a uniformly convex Banach space B, and T : D → D with fixed point set F(T ). Recently, Ghosh and Debnath [1] introduced the generalized versions of ... See full document

... In [30], Rhoades obtained strong convergence theorem for asymptotically nonexpan- sive mappings in uniformly convex Banach spaces using a modified Ishikawa iteration method. Osilike and Aniagbosor proved in ... See full document

... of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed ... See full document

... relatively nonexpansive mappings in a Banach ...the fixed-point set of this operator is identical to the set of all common fixed points of the ...common fixed points of ... See full document

... sunny nonexpansive retraction from K onto FixT . In 1984, Takahashi and Ueda 7 obtained the same conclusion as Reich’s in uniformly convex Banach space with a uniformly Gˆateaux differentiable norm. Recently, Xu 8 ... See full document