[PDF] Top 20 On approximation of fixed points of multivalued pseudocontractive mappings in Hilbert spaces

... fies any of the contractive conditions studied so far by authors. They also noted that these classes of maps have another interesting property of some existing maps considered re- cently by authors (see, e.g., [, –, ... See full document

... istence of such a retraction for an amenable semigroup of nonexpansive mappings on a Hilbert space. In [], Rodé also found a sequence of means on a semigroup generalizing the Cesàro means and extended ... See full document

... new approximation iterative method to prove a strong convergence theorem for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of the ... See full document

... iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the ... See full document

... real Hilbert space ...k-strictly pseudocontractive-type mapping from K into the family of all proximinal subsets of K with k ∈ (, ) such that F(T) = ∅ and T(p) = { p } for all p ∈ F(T ... See full document

... fixed points of ρ-nonexpansive multivalued mappings in modular function spaces using a Mann iterative ...the approximation of fixed points of ρ-nonexpansive multivalued ... See full document

... In an infinite-dimensional Hilbert space, the normal Mann iteration algorithm has only weak convergence. In many disciplines, including economics, image recovery and control theory, problems arise in infinite ... See full document

... common fixed point of the finite family of nonexpansive mappings in a Hilbert ...nonexpansive mappings if one of the mappings is ...nonexpansive mappings to strict ... See full document

... It is our purpose in this paper to give su ffi cient conditions to ensure that ¯ D ⊆ (I + r(I − T))( ¯ D) for every r > 0 and to prove the existence and convergence of a path to a fixed point of a demicontinuous ... See full document

... Abstract. In this paper, using an analytical technique we obtain a strong convergence for a modified three- step iterative scheme due to Suantai [6] for asymptotically pseudocontractive mappings in real ... See full document

... and pseudocontractive mapping to the semigroup of pseu- docontractive ...to pseudocontractive semigroup in Banach ...common fixed points of the semigroup of pseudocontractive ... See full document

... Remark 2.4. In [1], Bogin proved that T is strongly pseudocontractive if and only if ( I − T) is strongly accretive, where I denotes the identity operator. It is well known that if T is continuous and strongly ... See full document

... A metric space X is a CAT (0) space if it is geodesically connected, and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean plane. The precise definition is given below. It ... See full document

... topology for this kind of fuzzy metric spaces. Recently, Gregori et al. [] gave applica- tions of fuzzy metrics to color image process and used the concept of fuzzy metric to filter noisy images and in other ... See full document

... common fixed points of contractive-type multivalued mappings on partial metric spaces which cannot be deduced from the corresponding results in metric ...metric spaces [1, 9, 10, ... See full document

... for Hilbert spaces and uniformly convex uniformly smooth Banach spaces, this problem has been overcome by the introduction of the metric projection in the recursion formulas (see, ...a Hilbert ... See full document

... applied fixed point result in many branches of mathematics and generalized in many different ...metric spaces, semi metric spaces, pseudo metric spaces, probabilistic metric spaces, ... See full document

... The converse of Theorem 1.4 is also valid by following the same proof of Theorem 1.2. Assuming that X is not complete, we find a fixed point free mapping T satisfying the condition in Theorem 1.4. Following the ... See full document

... metric spaces expressed the most important role to many fields both in pure and applied science such as biology, medicine, physics and computer ...metric spaces, semi metric spaces, pseudo metric ... See full document

... Takahashi, “Fixed point theorems for multivalued mappings on complete metric spaces,” Journal of Mathematical Analysis and Applications , vol. Reich, “Fixed points of contractive functio[r] ... See full document