[PDF] Top 20 A new hybrid algorithm for a nonexpansive mapping

... Next, we compare Algorithms  and  with the nonexpansive mapping T defined in (). In the numerical results listed in Table , ‘Iter.’ and ‘Sec.’ denote the number of iterations and the cpu time in ... See full document

... iteration algorithm [] is often used to find a fixed point of nonexpansive map- pings, but it has only weak convergence (see [] for an ...iteration algorithm so that strong convergence is ... See full document

... Many authors attempt to modify the process 1.1 so that strong convergence is guaranteed that has recently been made. Nakajo and Takahashi 4 proposed the following modification which is the so-called CQ method and proved ... See full document

... Ishikawa’s algorithm for Lipschitzian pseudocontractions have not been achieved without compactness assumption on pseudocontractive mapping T or underlying space ...A new algorithm, which ... See full document

... Picard algorithm to the smooth convex minimization problem and point out that the Picard algorithm is the steepest descent method for solving the minimization ...Picard algorithm by using the ideas ... See full document

... Corollary 3.7. Let C be a nonempty closed convex subset of a real Hilbert space H and let ϕ : C → R be a lower semicontinuous and convex functional. Let Θ : C × C → R be an equilibrium bifunction satisfying conditions ... See full document

... A new monotone hybrid method for finding a common element for a family of a general class of nonlinear nonexpansive maps is constructed and, the sequence of the method is proved to converge strongly ... See full document

... convergence algorithm, called the linesearch algorithm, for solving a split equilibrium problem and nonexpansive mapping (SEPNM) in real Hilbert spaces, in which the first bifunction is ... See full document

... a hybrid method for a family of relatively nonexpansive mappings in a Banach space,” Journal of Mathematical Analysis and Applications, ...Dekker, New York, NY, USA, ... See full document

... 14. Wattanawitoon K, Kumam P: Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings. ... 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

... Krasnosel’ski˘ı-Mann algorithm [, Subchapter ...Halpern algorithm [, Subchapter .], [, ], and the hybrid method ...a new algorithm that approximates the fixed point faster than ... See full document

... a new hybrid projection algorithm for a pair of total quasi-φ -asymptotically nonexpansive mappings for finding a set of solutions of the equilibrium problem, a zero point of maxi- mal monotone ... See full document

... The simulation of the algorithm was carried out using NS-2 simulator. We considered 50 nodes in a 1500M * 1000 M. Simulation is carried out for 300 seconds. The sources in the network are 20 CBR (constant bit ... See full document

... for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 1, 2 and the references ...a nonexpansive mapping on a real Hilbert space ... See full document

... developed hybrid manufacturing process planning methods to synthesize subtractive, additive and inspection processes [11] to ...into new products with new identities. The basis for hybrid ... See full document

... of nonexpansive, asymptotically nonexpansive mappings, total asymptotically non- expansive mapping and nearly asymptotically nonexpansive self maps in the course of modified Mann and Ishikawa, ... See full document

... a new graph coloring based algorithm for cellular coloring ...proposed algorithm have been far less than the previously designed ...a new and a better field for ...The algorithm is more ... See full document

... Lemma . Let C be a nonempty subset of a CAT() space X. Let T : C → X be an α- nonexpansive mapping for some α <  such that F(T) = ∅. Then T is quasi-nonexpansive. Lemma . Let C be a nonempty ... See full document

... asymptotically nonexpansive mappings was ...ically nonexpansive nonself-mapping, we modify a classical Kuhfittig iteration algorithm in the general setup of hyperbolic ... See full document