[PDF] Top 20 Mann iteration process for monotone nonexpansive mappings

... When we relax the contraction condition to the case of the Lipschitz constant equal to , i.e., nonexpansive mapping, the completeness of the distance will not be enough as it was in the original case. We need ... See full document

... of nonexpansive mappings in CAT() ...the Mann and Ishikawa iteration process involving one ...Ishikawa-type iteration process involving two mappings in CAT() ... See full document

... pansive mappings and to prove some -convergence theorems of the mixed type itera- tion process for approximating a common fixed point of two asymptotically nonexpansive mappings and two total ... See full document

... strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left ... See full document

... an η-strongly monotone and k-Lipschitzian mapping, μ is a positive fixed constant. In the same year, Osilike et al. [] extended the results of Wang from Hilbert spaces to arbitrary Banach spaces and proved those ... See full document

... It has been shown that if C is a nonempty bounded closed convex subset of a uni- formly convex Banach space X, then every nonexpansive mapping T : C → C has a fixed point (see [2]). In this paper, we first extend ... See full document

... of nonexpansive map- pings stem mainly from the fact that it may be applied in many areas, such as imagine recovery and signal processing (see, ...of nonexpansive mappings have been studied by ... See full document

... contractive mappings and, in [], Reich proved, under the setting of Theorem ...The iteration process ...Ishikawa iteration process in light of Ishikawa []. Another iteration ... See full document

... Theorem . Let (M, d) be a complete hyperbolic metric space which is -uniformly con- vex. Let C be a nonempty, closed, convex and bounded subset of M. Let T be an asymptotic pointwise nonexpansive self mapping ... See full document

... a nonexpansive mapping, an asymptotically nonexpansive mapping, and an asymptotically pseudo-contractive mapping were studied extensively by Browder [], Kirk [], Goebel and Kirk [], Schu [], Xu [, ], ... See full document

... nonlinear mappings in a general setup of hyperbolic spaces is a fascinating field of research in nonlinear functional ...Moreover, iteration schemes are the only main tool to study fixed point problems of ... 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 results presented in ... See full document

... for monotone Lipschitzian mappings were established by several authors 7, ...a monotone continuous mapping which is not Lipschitzian see 14, Remark ... See full document

... the Mann iteration method and the Ishikawa iteration method to approximate fixed points of nonexpansive mappings in several classes of subsets of Banach ... See full document

... In this paper, we introduce the following implicit predictor-corrector iteration process with an auxiliary finite family of asymptotically quasi-nonexpansive self-mappings on C. Definition 1.3 ... See full document

... the Mann process (see ...asymptotic nonexpansive maps in Hilbert, Banach and metric spaces, see ...the Mann iteration process to a fixed point of asymptotic nonexpansive ... See full document

... The purpose of this paper is to study the convergence of the implicit iteration process 1.18 for two finite families of generalized asymptotically quasi-nonexpansive mappings. Strong ... See full document

... The fixed point theory in CAT(0) spaces is gaining attention of researchers, and many results have been obtained for single- and multivalued mappings in a CAT(0) space. For different aspects of fixed point theory in ... See full document

... for nonexpansive mappings and monotone mappings in a Hilbert ...of nonexpansive mapping and the set of solutions of variational inequality for an inverse- strongly monotone ... See full document

... every nonexpansive mapping defined on a bounded closed convex subset of a complete CAT() space always has a fixed ...asymptotically nonexpansive mappings in CAT() space and obtained a -convergence ... See full document