[PDF] Top 20 Generic convergence of iterates for a class of nonlinear mappings

... the iterates of a typical element (in the sense of Baire’s categories) of a class of con- tinuous self-mappings of K converge uniformly on K to the unique fixed point of this typical ... See full document

... nonexpansive mappings have been obtained by Kirk and Ray [9] on unbounded sets in a Banach ...a class of mappings, containing nonexpansive mappings as a subclass, on closed convex un- bounded ... See full document

... general class of asymptotically quasi-nonexpansive mapping and general implicit iterative process and without the boundedness of C which in turn generalizes Theorem 2 by Wittmann [21] from Hilbert spaces to ... See full document

... a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings on hyperbolic space through the S-iteration process introduced by Agarwal et ...(J. Nonlinear ... See full document

... the class of mappings that includes the class of pseudo contractive ...the class of asymptotically pseudo contractive mappings and which are extensions of pseudo contractive ... See full document

... An up-to-date method is used for approximating common fixed points of countable families of nonlinear mappings. A modified Picard-Mann hybrid iterative algorithm is introduced with the help of our method for ... See full document

... The class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...a class of Lipschitz pseudocontractive mappings in a Banach ...strong convergence problems ... See full document

... nonexpansive mappings have been obtained by Kirk and Ray [11] on unbounded sets in a Banach ...a class of mappings, containing nonexpansive mappings as a subclass, on closed convex unbounded ... See full document

... establish convergence in the modular sense of an iteration scheme associated with a pair of mappings on a nonlinear domain in modular function ... See full document

... The class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [5] as a generalization of the class of nonexpansive mappings. Recall also that a mapping T : K → K is said ... See full document

... nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence [r] ... See full document

... Kim, Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces, Nonlinear Analysis.. Xu, Approximating curves of nonexpansive nonself-mappings [r] ... See full document

... strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert ...the class of nonexpansive mappings to asymptotically nonexpansive ... See full document

... We focused on an iterative scheme for the class of T mappings in Hilbert spaces. We established the strong convergence theorem and gave a numerical test to illustrate our main theorem. Our scheme can ... See full document

... Throughout this paper, we always assume that H is a real Hilbert space, whose inner product and norm are denoted by ·, · and · . → and are denoted by strong convergence and weak convergence, respectively. ... See full document

... strong convergence theorem of the sequence generated by our iterative scheme is proved under suitable ...strong convergence theorem, the related equilibrium and variational problems are also ... See full document

... strong convergence (norm convergence) is often much more desirable than weak convergence, for it translates the physically tangible property that the energy x n – x ... See full document

... 2 Ya. I. Alber, “Metric and generalized projection operators in Banach spaces: properties and applica- tions,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, A. G. Kartsatos, ... See full document

... Recently, fixed point iterations of relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references therein. In 2005, ... See full document

... Now, we study the strong convergence result for a general iterative scheme (IS). Theorem 3.1. Let H be a Hilbert space, C be a closed convex subset of H such that C ± C ⊂ C, and T : C ® H be a k-strictly ... See full document