[PDF] Top 20 Strong convergence of an iterative process for a family of strictly pseudocontractive mappings

... weak convergence; see [] for more ...problems, strong convergence is often much more desirable than weak convergence for it translates the physically tangible property so that the energy x n ... See full document

... Krasnoselskii iterative process involv- ing a pair of a generalized strictly pseudocontractive mapping and a generalized duality mapping and prove some strong convergence ... See full document

... new iterative scheme by a hybrid method and prove a strong convergence theorem of a common element in the set of fixed points of a finite family of closed quasi-Bregman strictly ... See full document

... weak convergence theorem of the explicit averaging cyclic algorithm for a finite family of asymptotically strictly pseudocontractive mappings of K under suitable control conditions, and ... See full document

... new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of k-strictly pseudocontractive mappings and the set of common ... See full document

... Motivated by the works in 1–6, our purpose in this paper is to study the implicit iteration process 1.9 in the general setting of a uniformly smooth Banach space and prove the strong convergence of ... See full document

... finite family of strictly pseudocontractive mappings based on a viscosity approximation iterative ...process. Strong convergence theorems of common fixed points are ... See full document

... new iterative process by the hybrid projection method is ...constructed. Strong convergence of the iterative process to a common element of the set of common fixed points of a ... See full document

... parallel iterative algorithm for strictly pseudocon- tractive mappings in the framework of Hilbert ...and strong convergence the- orems for common fixed points of a family of ... See full document

... developing iterative methods for approximating a common fixed point (when it exists) for a family of nonex- pansive mappings and α-strictly pseudocontractive ...Halpern-type ... See full document

... several strong convergence theorems for the Ishikawa iterative sequence with errors to a fixed point of strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces and ... See full document

... is pseudocontractive if and only if A : I − T is monotone, and hence a fixed point of T, FT : {x ∈ DT : Tx x} is a zero of A, NA : {x ∈ DA : Ax ...obtain iterative methods for approximating fixed points of ... 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

... of convergence of an implicit iterative algorithm to a com- mon fixed point for a family of nonexpansive mappings or pseudocontractive mappings have been considered by several ... See full document

... nonexpansive mappings and strictly pseudocontractive mappings and some other mappings via the implicit iter- ative algorithm has been extensively investigated by many authors (see, ... See full document

... composite iterative method for finding a fixed point of a strictly pseudocontractive mapping in Hilbert ...the strong convergence of the sequence generated by the proposed ... See full document

... -strictly pseudocontractive mapping with a nonempty fixed point ...weak convergence theorem of the modified Mann ’ s algorithm for T under suitable control ...guarantees strong ... See full document

... iteration process with errors for finite families of strictly asymptot- ically pseudocontractive mappings and nonexpansive mappings is ...the iterative process, some ... See full document

... general iterative process with errors for a finite family of quasi-nonexpansive multi-valued mappings and prove some strong and weak convergence theorems for such mappings ... See full document

... Some mathematicians considered the open question. In [], Song proved that for a firmly nonexpansive mapping T , an important subclass of nonexpansive mappings, the answer of the Halpern open problem is affirmative. ... See full document