[PDF] Top 20 Viscosity approximation process for a sequence of quasinonexpansive mappings

... The viscosity approximation method ...between viscosity approximation methods and Halpern [] type iterative methods for a sequence of nonexpansive ... See full document

... a sequence of nonexpansive mappings satisfying AKTT condition by choosing an appropriate control sequence under certain conditions; see Theorem ...cosity approximation follows from Theorem ... See full document

... The next convergence theorem of an iterative scheme on CAT() spaces was first pro- posed by Pia¸tek []. The theorem deals with the Halpern-type iterative sequence. Al- though the result itself is correct, a part ... See full document

... a viscosity iterative process, which converges strongly to a common element of the set of fixed points of a pseudo-contractive mapping and the set of solutions of a monotone ... See full document

... of viscosity iteration processes for approximating common fixed points of the pseudocontractive semigroup in uniformly convex Banach spaces with uniformly Gˆateaux differential ...implicit viscosity ... See full document

... In a real Hilbert space, an iterative scheme is considered to obtain a common fixed point for a countable family of nonexpansive mappings. In addition, strong convergence to the common fixed point of this ... See full document

... new viscosity approximation method by using the shrinking projection algorithm to approximate a common fixed point of a countable family of nonlinear mappings in a Banach ...the sequence ... See full document

... Let C be a nonempty subset of a metric space X and T : C → C be a mapping. We as- sume that F(T), the set of fixed points of T, is nonempty and I = { , , , . . . ,r } . The map- ping T is (i) quasi-nonexpansive if ... See full document

... nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...general viscosity approximation process as ... See full document

... new viscosity iterative process, which converges strongly to a common element of the set of fixed points of a finite family of pseudo-contractive mappings more general than non-expansive ... See full document

... Theorem . Let C be a nonempty closed convex subset of a reflexive and strictly con- vex Banach space E, whose norm is uniformly Gâteaux differentiable. Let T : C → E be a nonexpansive mapping with Fix(T ) = ∅ and : C → E ... See full document

... The viscosity approximation method is one of the important methods for approximation fixed points of nonexpansive type ...applied viscosity approximation technique for finding a common ... See full document

... iteration process in Banach space, which was extended the results of Mann iteration process ...the mappings in these results must be self-mapping and ... See full document

... Theorem 3.1. Let H be a Hilbert space, C a nonempty closed convex subset of H , P the met- ric projection of H onto C, and T : C → H a nonexpansive nonself-mapping with F(T) = ∅ . Let { t n } be sequence in (0, 1) ... See full document

... like viscosity approximation. In Section , we combine a sequence of contractive mappings and obtain strong convergence theorem for approximating fixed point of a non- expansive ...nonexpansive ... See full document

... (SFP). Moudafi [6] introduced an iteration process to establish a weak convergence the- orem for split equality feasibility problem under suitable assumptions. The (SEFP) has many applications such as decomposition ... See full document

... iterative algorithm and using the algorithm, we state and prove some strong convergence results for the approximation of solutions of (1.12) and (1.4)–(1.5). Finally, we applied our results to study multiple–sets ... See full document

... However, it is well known that strongly convergent algorithms are very important for solving infinite dimensional problems and viscosity can effectively transfer weak conver- gence of certain iterative algorithm to ... See full document

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

... For approximation of fixed points of a nonexpansive mapping, researchers use some ...theory, approximation methods have attracted so much attention, since they are very powerful and important tools in the ... See full document