[PDF] Top 20 New iteration scheme for numerical reckoning fixed points of nonexpansive mappings

... Richardson iteration, a Picard iteration, or the method of successive ...point iteration is the con- traction mapping ...Picard iteration has been successfully employed in approximating the ... See full document

... This scheme has been studied by several authors [–] with respect to various classes of mappings in different classes of ...a new iteration scheme for a pair of hybrid mapping and ... See full document

... a new iterative algorithm called ‘modified Picard-Ishikawa hybrid’ to approximate fixed points of total asymptotically nonexpansive mappings on CAT() ...two numerical examples to ... See full document

... iterative scheme in the sense of Agarwal et ...with nonexpansive and φ -hemicontractive mappings in a nonempty convex subset of an arbitrary Banach ... See full document

... asymptotically nonexpansive mappings was introduced by Goebel and Kirk 1 as a generalization of the class of nonexpansive ...asymptotically nonexpansive self-mapping of K, then T has a ... See full document

... a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-φ-nonexpansive mappings, the set of common solutions of a finite ... See full document

... Two mappings T, S : K → K are said to satisfy the condition (A 0 ) if there exists a nondecreasing function g : [0,∞) → [0, ∞) with g(0) = 0, g(r) > 0 for all r ∈ (0, ∞) such that either kx − T xk ≥ g(D(x, F )) ... See full document

... two mappings in iteration processes has also remained under study since Das and Debata [5] gave and studied a two mappings ...two mappings case, that is , approximating the common …xed ... See full document

... a new iterative scheme of approximating a common element of the set of solutions to mixed equilibrium problem and set of common fixed points of finite family of nonexpansive ... See full document

... We note that it is the same as Mann’s iterations that have only weak convergence the- orems with implicit iteration scheme (1.3). In this paper, we introduce the following two general composite implicit ... See full document

... a new explicit iteration method based on the steepest descent method and Krasnoselskii-Mann type method for finding a solution of a variational inequality involving a Lipschitz continuous and strongly ... See full document

... quasi-nonexpansive mappings and f : C → C a fixed contractive mapping with contractive coefficient α ∈ [ 0 , 1 ] ...the iteration scheme is defined as follows: ... See full document

... asymptotically nonexpansive mappings in Banach ...fixed points of two nonexpansive mappings and a finite family of nonexpansive mappings, and proved some convergence ... See full document

... point iteration processes for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the ... See full document

... a nonexpansive mapping T which maps a closed bounded convex subset C of a uniformly convex Banach space into itself has a fixed point in ...Ishikawa iteration methods dealing with nonexpansive ... See full document

... a new explicit iteration scheme with perturbed map- ping for approximation of common fixed points of a finite family of nonexpansive self- mappings of ... See full document

... Fixed point problems are now arising in a wide range of applications such as optimiza- tion, physics, engineering, economics and applied sciences. Many related problems can be cast as the problem of finding fixed ... See full document

... common fixed points of two nonexpansive mappings in a Hilbert ...an iteration scheme for non- expansive mappings without commutativity assumption and prove that the ... See full document

... If T satisfies Condition-A, where F is the nonempty fixed point set of T in C, then, for an arbitrary x0 C, the Picard iterates {S"x0} converge to a member of F.. We may note that C need[r] ... See full document

... Theorem . Let X be a Banach space which satisfies the τ -Opial condition. Let C be a bounded convex τ -compact nonempty subset of X not reduced to one point. Assume that (C, ·, G) has property (P) and the G-intervals ... See full document