[PDF] Top 20 A hybrid iteration for asymptotically strictly pseudocontractive mappings

... strict pseudocontractive mappings was initiated by Browder and Petryshyn [] in , but the iterative methods for strict pseudocontrac- tive mappings are far less developed than those for ... See full document

... Lemma . [] Let E be a uniformly convex Banach space, let K be a nonempty closed convex subset of E, and let T : K → K be an asymptotically nonexpansive mapping with F(T ) = ∅ . Then I – T is semi-closed at ... See full document

... of asymptotically nonexpansive maps is a proper subclass of the class of asymptotically k-strictly pseudocontractive ...of asymptotically k-strictly pseudocontractive ... See full document

... λ- strictly pseudocontractive with δ λ ≥ ...semicompact strictly pseudocontractive self-map of K such that FT / ∅, where FT {x ∈ K : Tx x}, and let {α n } ∞ n1 and {λ n } ∞ n1 be two ... See full document

... implicit iteration process with errors for finite families of strictly asymptot- ically pseudocontractive mappings and nonexpansive mappings is ...of strictly ... See full document

... [4] K.-K. Tan and H. K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, Journal of Mathematical Analysis and Applications 178 (1993), no. 2, 301–308. Yuchao Tang: ... See full document

... According to the above definition, Haghi et al. [] studied the T -stability of Picard’s iteration for generalized φ -contraction mappings on a metric space. Also Olatinwo and Postolache [] studied the ... See full document

... a hybrid relaxed extragradient method for generalized equilibrium problems and fixed point problems of a finite family of nonexpansive mappings,” Nonlinear Analysis: Hybrid Systems, ... See full document

... of mappings considered in our work. Keywords: asymptotically nonexpansive maps; asymptotically k-strictly pseudocontractive maps; fixed points; strong convergence; Hilbert ... See full document

... where n = (k – )N + i with i = i(n) ∈ I = { , , , . . . , N –  } , k = k(n) ≥  a positive integer and lim n→∞ k(n) = ∞ . The cyclic algorithm was first studied by Acedo and Xu [] for the iterative approximation of ... See full document

... nonexpansive mappings on a CAT(0) space. Results established in the paper extend and improve a number of results in the literature. A numerical example is also given to examine the fastness of the proposed ... See full document

... The class of strict pseudocontractions was introduced by Browder and Petryshyn 4 in a real Hilbert space. Marino and Xu 5 proved that the fixed point set of strict pseudocontractions is closed convex, and they also ... See full document

... nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...explicit hybrid iteration method for nonexpansive mappings in Hilbert ... See full document

... In this paper, we investigate the problem of modifying the normal Mann iteration pro- cess for a family of κ -strictly pseudocontractive mappings. Strong convergence of the pur- posed ... See full document

... by hybrid method for finding a common element of the set of common fixed points of infinite family of k-strictly pseudocontractive mappings and the set of common solutions to a system of ... See full document

... Motivated by the work of Wang [9] and earlier results of Xu and Kim [7] and Yamada [8], Miao and Li generalized (1.5) by developing the following composite hybrid iteration process: Let H be a Hilbert ... See full document

... shrinking hybrid projection method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of the variational inequalities ... See full document

... implicit iteration process of Xu and Ori and applied the modified iteration process for the approximation of fixed points of a finite family of asymptotically quasi-nonex- pansive ...implicit ... See full document

... Theorem 3 . 1 Let E be a real uniformly convex Banach space which has the Fréchet differentiable norm, and let K be a nonempty, closed, and convex subset of E. Let T : K ® K be an asymptotically -strictly ... See full document

... of asymptotically pseudocontractive mappings has been studied by several au- thors (see [, –] and the references cited therein) by using the modified Mann iteration process (see []) and the ... See full document