[PDF] Top 20 Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings

... kT x − T yk ≤ Lkx − yk for all x, y ∈ E. (1.3) If (1.3) is satisfied with L ∈ [0, 1), respectively L = 1, then the mapping T is called a contraction, respectively nonexpansive. A mapping T : K → K is called ... See full document

... of asymptotically nonexpansive mappings in Banach ...three-step iterative scheme with errors in a Banach space and gave weak and strong convergence theorems for ... See full document

... a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi-φ-asymptotically nonexpansive ... See full document

... some strong convergence theorems of an implicit algorithm for a finite family of of total asymptotically nonexpansive mappings in the setting of CAT(0) ... See full document

... a family S = { T (s) | 0 ≤ s < ∞} of mappings from C into itself is called an asymptotically nonexpansive semigroup on C if it satisfies the following ... See full document

... some strong convergence theorems of modified two-step iterations for two nearly asymptotically nonexpansive mappings in the setting of hyperbolic ... See full document

... every nonexpansive mapping is asymptotically nonexpansive with the asymptotical sequence ...of asymptotically nonexpansive mappings was introduced by Goebel and Kirk 2 in ... See full document

... a strong convergence of the iterative scheme ...for convergence in the case when E is uniformly smooth with a weakly continuous duality ...many mappings with addi- tional condition on ... See full document

... new iterative algorithm inspired by Matsushita and Takahashi ...a strong convergence theorem of the proposed algorithm for asymptotically nonexpansive in the intermediate ... See full document

... the iterative scheme (1.1) to the iterative scheme of asymp- totically quasi-nonexpansive mappings with error ...the strong convergence of iterative scheme to a fixed ... See full document

... multi-step iterative algorithm with bounded errors (1.1) for a finite family of generalized asymptotically quasi-nonexpansive map- pings to converge to common fixed points in Banach ... See full document

... countable family of nonexpansive mappings is introduced and ...A strong convergence theorem of the proposed iterative scheme to a common fixed point of a countable family ... See full document

... are iterative in their ...an iterative algorithm must be used to approximate such a ...a family of nonlinear ...classic algorithm to study fixed points of nonlinear ...for ... See full document

... of asymptotically nonexpansive mappings. Weak and strong convergence theorems are established in arbitrary Ba- nach ...and strong convergence an iterative method ... See full document

... new iterative scheme and to get a strong convergence theorem for a countable family of relatively quasi-nonexpansive mappings and a system of equilibrium problems in a uniformly ... See full document

... finite family of asymptotically quasi-nonexpansive maps on: i uniformly convex Banach spaces 5, 14, 15, ii convex metric spaces 13, iii CAT0 spaces 12 are immediate consequences of our ...their ... See full document

... of asymptotically nonexpansive mappings in hyperbolic spaces, Fixed Point Theory and Applications, 2014: 33, (2014), ...Some convergence results for modified SP-iteration scheme in ... See full document

... (C2), Algorithm (1.1) is widely believed to have slow convergence though the rate of convergence has not be ...of convergence of algorithm ...show algorithm (1.1) is ... See full document

... a strong convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a ... See full document

... for nonexpansive mappings have recently been applied to solve con- vex minimization problems (see, ...a nonexpansive mapping on a real Hilbert space H ... See full document