[PDF] Top 20 General alternative regularization methods for nonexpansive mappings in Hilbert spaces

... Let C be a nonempty closed convex subset of a real Hilbert space H with the inner product ·, · and the norm · and let f : C → C be a α-contractive mapping, i.e., there exists a constant α ∈ [, ) such that f (x) ... See full document

... We introduce two iterative algorithms for nonexpansive mappings in Hilbert spaces. We prove that the proposed algorithms strongly converge to a fixed point of a nonexpansive mapping T . ... See full document

... of nonexpansive mappings in Hilbert spaces are ...more general system of variational inequalities, the constrained convex minimization problem and K-mapping are ... See full document

... the general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert ... See full document

... new general 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 ... See full document

... The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces is established. The strong convergence of this technique is proved under certain assumptions ... See full document

... iterative methods for a countable family of nonexpansive mappings in Hilbert ...of nonexpansive mappings which solves the corresponding variational ... 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

... Optimization theory has emerged as a powerful and effective tool for studying a wide class of problems which arise in economics, finance, image reconstruction, ecology, transportation, network, elasticity and ... See full document

... of nonexpansive mappings, the set of solutions of some variational inequality problem, and the set of fixed points of a left amenable semigroup { T t : t ∈ S } of nonexpansive mappings ... See full document

... 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

... 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

... of nonexpansive mappings in Hilbert ...that nonexpansive mappings belong to quasi- nonexpansive ...the general approximation method proposed by Marino and Xu to ... See full document

... for nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...a nonexpansive mapping, and A be a strongly positive and linear bounded ... See full document

... The purpose of this article is to introduce two iterative algorithms for finding the least norm fixed point of nonexpansive mappings. We provide two algorithms, one implicit and another explicit, from which ... See full document

... The purpose of this paper is to propose an algorithm for solving the split feasibility problems for total quasi-asymptotically nonexpansive mappings in infinite-dimensional Hilbert spaces. The ... See full document

... in Hilbert spaces and extensions to Banach spaces were obtained by Xu ...a nonexpansive mapping for the purpose of selecting a particular fixed point of the nonexpansive mapping, for ... See full document

... Corollary . Let C be a nonempty closed convex subset of H. Let F be a bifunction from C × C to R which satisfies (A)-(A) and let f : C → C be a κ-contraction. Let A : C → H be an α-inverse-strongly monotone mapping ... 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

... a nonexpansive mapping, then I - F is an inverse strongly mono- tone mapping, and the fixed points set of mapping F and the solution set S(I - F) are ...of nonexpansive map- ping, which were studied in ... See full document