[PDF] Top 20 Strong convergence of the Mann iterative sequence for demicontractive maps in Hilbert spaces

... the strong convergence of the Mann iteration sequence to a fixed point of a demicontractive map T, and the existence of a non-zero solution of a certain variational ... See full document

... the convergence of the Mann iteration sequence to fixed points of certain mappings in certain Banach ...the Mann iteration sequence is very suita- ble for the study of ... See full document

... the Mann iterative sequence converge to the fixed points of the more general class of pseudocontractive maps? To this end, we quickly submit that all attempts to use the Mann iteration ... See full document

... However, strong convergence has not been achieved without compact- ness assumption on T or K ; or other requirements on the set of fixed point F(T ); or complete modification of the scheme to a hybrid ... See full document

... new iterative algorithms to solve the split feasibility problem in an infinite- dimensional Hilbert ...the iterative sequence converged to the solu- tion of the split feasibility problem which ... See full document

... real Hilbert space, let F be a bifunction from H × H → R satisfying (A)-(A) and let T be a nonexpansive mapping on H such that F(T ) ∩ EP(F) = ∅ ...a sequence generated ... See full document

... general iterative scheme for approximating a point of F(T )∩ (A+B) –  ∩ G –  = ∅, where T is a λ-hybrid self-mapping on C, A : C → H is an α-inverse strongly monotone mapping and B and G are two maximal ... See full document

... establish strong convergence results for family of continuous -demicontractive mappings using the Mann-type implicit iteration process (2) given by Hussain et ... See full document

... on iterative methods has been at- tracting many authors’ ...the iterative methods, the most popular method is the Mann iterative method which was introduced by Mann in ; see [] ... See full document

... some strong convergence results for Mann and Ishikawa iterative processes in a Banach space setting by employing some general contractive conditions as well as weakening further the conditions ... See full document

... Lemma 2.9. Let C be a closed convex subset of a Hilbert space H. Let S : C ® C be a non-expansive mapping and j be an MKC on C. Suppose F: C ® C be a h-strongly monotone and L-Lipschitzian mapping with coefficient ... See full document

... general 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 ... See full document

... real Hilbert space H, suppose that f : C → C is a fixed contractive mapping with coefficient 0 < α < 1, and I {T s : s ≥ 0} is a nonexpansive semigroup on C such that FI is nonempty, and A is a strongly ... See full document

... Papageorgiou [] established the existence of a random fixed point of measurable closed and nonclosed valued multi-functions satisfying general continuity conditions and hence improved the results in [, ] and []. Xu ... See full document

... infinite-dimensional Hilbert space, the normal Mann iteration algorithm has only weak convergence, in general, even for nonexpansive ...have strong convergence for nonexpansive mappings ... See full document

... Throughout this paper, we always assume that H is a real Hilbert space with the inner product · , · and norm · . We denote by I the identity operator on H, and by Fix(T) the set of the fixed points of an operator T ... See full document

... x}. Iterative methods for finding fixed points of nonexpansive mappings are an important topic in the theory of nonexpansive mappings and have wide applications in a number of applied areas, such as, image ... See full document

... Suzuki, “On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces,” Proceedings of the American Mathematical Society , vol. Xu, “A strong convergence the[r] ... See full document

... Throughout this paper, we denote the set of all nonnegative integers by N . Let H be a real Hilbert space with norm · and inner product · , · . Let C be a closed convex subset of H , and T a nonself-mapping from C ... See full document

... Let H be a real Hilbert space with the inner product ·, ·, which induces the norm · . Let C be a nonempty, closed, and convex subset of H. Let T be a nonlinear mapping of C into itself; we denote with Fix(T ) the ... See full document