[PDF] Top 20 Universidad Alas Peruanas: Escuela Profesional de Ingeniería Civil

... Lemma 2 . 6 Let E be a real uniformly convex Banach space which has the Fréchet differentiable norm. Let K be a nonempty, closed, and convex subset of E and T : K ® K an asymptotically -strictly ... See full document

... an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of solutions of a variational inequality problem for a monotone and Lipschitz continuous ...extragradient-like ... See full document

... strong convergence of the modified Mann iteration processes for k-strictly asymptotically pseudocontractive mappings in Hilbert ...modified Mann iteration scheme was ... See full document

... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk 1 as a generalization of the class of nonexpansive ...an asymptotically nonexpansive mapping on C, then T has a fixed ... See full document

... parallel iterative algorithm for strictly pseudocon- tractive mappings in the framework of Hilbert ...strong convergence the- orems for common fixed points of a family of strictly ... See full document

... let S : C ® C be a uniformly continuous asymptotically -strict pseudocontractive mapping in the intermediate sense with sequence {g n } such that ... See full document

... and asymptotically nonexpansive mappings have been studied extensively by many authors to solve nonlinear operator equations as well as variational inequalities ...strong convergence theorems for ... See full document

... explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocontractive non-self mapping in ... See full document

... a modified Ishikawa iteration method [18] under different ...and asymptotically nonex- pansive mapping in the intermediate sense with a sequence {ν n } such that P ν n < ∞ with F (T ) 6= ... See full document

... The aim of this paper is to give some strong convergence theorems for uniformly L-Lipschitzian and asymptotically pseudo contractive mappings in Banach spaces. Our results not only include the past ... See full document

... Stability results established in metric space, normed linear space, and Banach space set- tings are available in the literature. There are several authors whose contributions are of colossal value in the study of ... See full document

... Theorem . Let C be a nonempty bounded and closed convex subset of a real Hilbert space H . Let T : C → C be a uniformly L-Lipschitzian and total quasi-asymptotically pseudo-contractive mapping with F(T ) = ∅ . ... 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 norm and if the ... See full document

... The author is extremely grateful to Professor S. Al-Homidan and the anonymous referees for their valuable comments and useful suggestions which improve the presentation of this paper. This research work is ... See full document

... Recently many authors want to modify the Mann iteration method (1.3) so that strong convergence is guaranteed have recently been made. Nakajo and Takahashi [8] proposed the following modification of ... See full document

... of strictly pseudocontractive mappings strictly includes the class of nonexpansive mappings which are mappings T on DT such that Tx−Ty ≤ x−y for all x, y ∈ DT ... See full document

... ||T x − Ty|| ≤ L||x − y||, ∀x, y ∈ C. (1.1) T is said to be a contraction if L ∈ [0, 1) and T is said to be nonexpansive if L = 1 (see for example [1],[17]). T is said to be asymptotically nonexpansive (see for ... See full document

... the convergence of Ishikawa iteration process for the class of asymptotically κ-strict pseudocontractive mappings in the intermediate sense which is not necessarily ...Weak ... See full document

... pseudo-contractive mappings and real smooth Banach ...strongly pseudocontractive map- pings and certain smooth Banach ...the Mann and Ishikawa iteration methods may exhibit different behavior for ... See full document

... then S is a strongly pseudocontractive mapping and has a fixed point p, and it is also a Lipschitzian mapping with a constant ...exists s >  such ... See full document