[PDF] Top 20 An Iteration Method for Nonexpansive Mappings in Hilbert Spaces

... intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), D. Butnariu, Y. Censor, and S. Reich, ... See full document

... iterative method by using the K-mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert ...iterative method is established under ... See full document

... of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed on ... See full document

... of nonexpansive mappings have been studied by various authors (see, ...hybrid iteration method for nonexpansive mappings in Hilbert space; and then Osilike et ...Banach ... See full document

... The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces are established. The strong convergence theorems of the rules are proved under certain assumptions imposed ... See full document

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

... asymptotically nonexpansive mappings (or nonexpansive mappings) in Hilbert spaces or uniformly convex Banach spaces have been considered by several authors (see, ... See full document

... monotone mappings. If A I − T , where T is a nonexpansive mapping of C into itself and I is the identity mapping of H, then A is 1/2- inverse-strongly monotone and VIC, A FT ... See full document

... iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, with respect to a sequence of left regular means defined on an appropriate space of ... See full document

... where the two sequences { } and {% } satisfy some appropriate conditions and proved strong convergence theorem for Lipschitzian pseudocontractive mapping in Hilbert space and Qihou [18] extended this result to ... See full document

... The study of contractive-type mappings is a famous topic in a metric fixed point theory. Banach [] proved a classical theorem, known as the Banach contraction principle, which is a very important tool for solving ... See full document

... real Hilbert space H with the inner product ·, · and the norm · ...a nonexpansive mapping with a nonempty set of fixed points Fix(T) and let h : C → C be a Lipschitzian strong ...approximation method ... See full document

... infinite nonexpansive mappings and the set of solutions of the variational inequalities for an inverse-strongly mapping, which solves another variation inequality hγ f (q) − Bq, q − pi ≤ 0, p ∈ ∩ ... See full document

... real Hilbert space, let F be a -Lipschitzian and h-strongly monotone operator on H with k > 0, h > 0, and let T be a quasi-nonexpansive mapping on H, and f is a L-Lipschitzian mapping with coefficient ... See full document

... accretive) mappings using the Mann iteration process (see, for example, ...in Hilbert spaces and only for Lipschitz mappings have been extended to more general Banach spaces (see ... See full document

... We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed[r] ... See full document

... Attempts to modify the Mann iteration method (1.1) so that strong convergence is guaranteed have recently been made. Nakajo and Takahashi [8] proposed the following modification of Mann iteration ... See full document

... CAT() spaces, we refer the reader to standard texts, such as [, ...pre-Hilbert spaces, R -trees, Euclidean buildings are examples of CAT() spaces (see [, ... See full document

... The concept of asymptotically nonexpansiveness was introduced by Goebel and Kirk in 1972 [2]. In 2001, Noor [5, 6] introduced the three-step iterative scheme and he stud- ied the approximate solutions of variational ... See full document

... In 2000, Noor [16] introduced a three-step iterative scheme and studied the approximate solu- tions of variational inclusion in Hilbert spaces. Suantai [19] defined a new three-step iterations which is an ... See full document