[PDF] Top 20 Strong and △-Convergence of Modified Two-Step Iterations for Nearly Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

... of asymptotically nonexpansive and asymptotically quasi- nonexpansive mappings in uniformly convex Banach spaces using modified Mannn and Ishikawa iteration processes and ... See full document

... a strong convergence theorem of the three-steps iterations for asymptotically nonexpansive mappings in a real Banach space equipped with a uniformly Gâteaux differentiable norm ... See full document

... new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular ... See full document

... some strong and -convergence theorems for a modified SP-iteration scheme for total asymptotically nonexpansive mappings in hyperbolic spaces by employing recent technical ... See full document

... study strong and -convergence for a newly defined two-step iteration process involving two asymptotically nonexpansive mappings in the intermediate sense which is ... See full document

... We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong ... See full document

... some strong convergence theorems and a weak convergence theorem of modified S-iteration scheme ...for two nearly asymptotically nonexpansive mappings in the ... See full document

... known iterations as special case. Such as, the modified Mann iteration (see, [13]), the modified Ishikawa iteration (see, [17]), the three-step iteration (see, [19]), the multi-step ... See full document

... the convergence theorems of a new two-steps iterative scheme for two total asymptotically nonexpansive nonself-mappings in Banach ... See full document

... new two-step iterative scheme of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and ... See full document

... Asymptotically nonexpansive self-mappings using Ishikawa iterative and the Mann iterative processes have been studied extensively by various authors to approximate fixed points of ... See full document

... three-step iterations lead to highly parallelized algorithms under certain ...the two-step and one-step approximate ...CAT(k) spaces with k > ... See full document

... of asymptotically nonexpansive mappings in hyperbolic spaces, Fixed Point Theory and Applications, 2014: 33, (2014), ...Some convergence results for modified SP-iteration ... See full document

... generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong ...in hyperbolic spaces and generalize many known results in Banach ... See full document

... Hilbert spaces and gave strong convergence theorem for nonexpansive ...Banach spaces by using the generalized ...for nonexpansive mappings in Banach spaces as ... See full document

... Hilbert spaces to real Banach spaces with uniformly Gâteaux differentiable norms and in which each nonempty, closed, convex and bounded subset has the fixed point property for nonexpansive ... See full document

... Fixed point theory as an important branch of nonlinear analysis theory has been applied in the study of nonlinear phenomena. During the four decades, many famous existence theorems of fixed points were established; see, ... See full document

... some strong convergence theorems of an implicit algorithm for a finite family of of total asymptotically nonexpansive mappings in the setting of CAT(0) ... See full document

... metric spaces was coined by Lim ...CAT() spaces and proved that it is very similar to the weak convergence in the Banach space ...Ishikawa iterations in the CAT() space ... See full document

... prove strong convergence of the modified Ishikawa iteration process when T is an ANI self-mapping such that T(C) is contained in a compact subset of C, which generalizes the result due to Takahashi and Kim ... See full document