[PDF] Top 20 A general composite iterative method for strictly pseudocontractive mappings in Hilbert spaces

... be pseudocontractive if k =  and T is said to be strongly pseudocontractive if there exists a positive constant λ ∈ (, ) such that T – λI is ...k-strictly pseudocontractive mappings ... See full document

... mean iterative algorithm is investigated for finding a common element in the solution set of generalized equilibrium problems and in the fixed point set of strictly pseudocontractive ...mean ... See full document

... an iterative scheme for finding a common element of the set of fixed points of a k- strictly pseudocontractive mapping, the set of solutions of the variational inequality for an inverse- strongly ... See full document

... “A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert ... See full document

... real Hilbert spaces, the class of asymptotically nonexpansive maps is a proper subclass of the class of asymptotically k-strictly pseudocontractive ...k-strictly ... See full document

... explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocontractive non-self mapping in ... See full document

... parallel iterative algorithm for strictly pseudocon- tractive mappings in the framework of Hilbert ...of strictly pseudocontractive mappings were established; see [] for ... See full document

... On the other hand, iterative methods for nonexpansive mappings have recently been ap- plied to solve convex minimization problems; see, e.g., [–] and the references therein. Convex minimization problems ... See full document

... Since many nonlinear problems arising in applied areas such as image recovery, signal pro- cessing, and machine learning are mathematically modeled as a nonlinear operator equation and this operator is decomposed as the ... See full document

... Recently, in a real Hilbert space setting, Saddeek and Ahmed [] proved that the Kras- noselskii iterative sequence given by (.) converges weakly to a fixed point of T under the basic assumptions that I – ... See full document

... λ-strictly pseudocontractive mapping, we introduce a general iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, ... See full document

... a Hilbert space, C be a closed convex subset of H such that C ± C ⊂ C , and T : C ® H be a k -strictly pseudo-contractive mapping with F ( T ) ≠ ∅ for some 0 ≤ k < ... See full document

... In an infinite-dimensional Hilbert space, the normal Mann iteration algorithm has only weak convergence; see [] for more details. In many disciplines, including economics [], image recovery [] and control ... See full document

... where K is a nonempty closed convex subset of a real Hilbert space H with inner product 〈 ·, · 〉 , and T, g: H ® H be mappings. It is known that a class of nonsymmetric and odd-order obstacle, unilateral, ... See full document

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

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. A mapping T of C into itself is called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed point of T ... See full document

... -strictly pseudocontractive mapping with a nonempty fixed point ...s iterative sequence to a fixed point of T in a real Banach spaces with the Fr é chet differentiable ... See full document

... descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their ... See full document

... of strictly asymptot- ically pseudocontractive mappings and nonexpansive mappings is ...the iterative process, some strong convergence theorems to approximating a common fixed point of ... See full document

... [] to both uniformly continuous strongly pseudo-contractive mappings and real smooth Banach spaces. Park [] extended the result in [] to both strongly pseudocontractive map- pings and certain ... See full document