[PDF] Top 20 Strong convergence theorems for fixed points of nonlinear mappings

... Recently, fixed point iterations of relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references ...considered ... See full document

... Fixed points of nonlinear operators as an important research branch of nonlinear analysis and optimization has been applied in the study of nonlinear ...existence theorems of ... See full document

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

... Let C be a nonempty closed and convex subset of E. Throughout this paper, S will always denote a semigroup with an identity e. S is called left reversible if any two right ideals in S have nonvoid intersection, that is, ... See full document

... 12. Lafuerza-Guillén, B: Latest results on probabilistic normed spaces. Int. J. Math. Anal. 1, 269-309 (2006) 13. Sempi, C: A short and partial history of probabilistic normed spaces. Mediterr. J. Math. 3, 283-300 (2006) ... See full document

... weak convergence theorem for the alternating method with Bregman distances,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ... See full document

... mon fixed points of a family of nonexpansive mappings and proved strong convergence theorems by using the Mosco convergence technique in a uniformly convex and smooth ... See full document

... some strong convergence theorems for fixed points of modified Ishikawa and Halpern iterative processes for a countable family of hemi-relatively nonexpansive mappings in a ... See full document

... finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized ... See full document

... We remark that, from the view of computation, the implicit iterative scheme 1.7 is often impractical since, for each step, we must solve a nonlinear operator equation. Therefore, one of the interesting and ... See full document

... obtain strong convergence theorems of two modifications of Mann iteration processes with errors in the doubly sequence ...weakly convergence theorems for doubly sequence Mann’s ... See full document

... spaces, 2 ≤ p < ∞ under conditions C1, C2, and C5 or C6 as in the result of Xu and Kim. It is our purpose in this paper to modify the schemes 1.8 and 1.9 and prove strong convergence theorems for ... See full document

... by Theorems MT, PU, and SWX, we consider the problem of finding a common fixed point of a pair of hemirelatively nonexpansive mappings by shrinking projection methods which were introduced by ... See full document

... Let E be a real Banach space, K a nonempty closed convex subset of E, and T : K → K a mapping. We use FT to denote the set of fixed points of T , that is, FT {x ∈ K : Tx x}. T is called nonexpansive if Tx − ... See full document

... prove strong convergence theorems for fixed points of closed hemi- relatively nonexpansive ...these convergence theorems, the monotone hy- brid iteration method is ... See full document

... of nonlinear analysis theory has been applied in the study of nonlinear ...existence theorems of fixed points were established; see, for example, ...of fixed points of ... See full document

... of fixed points of nonlinear mappings is an important and active research ...finding fixed points of nonexpansive mappings have received vast investigation ...nonexpansive ... See full document

... In this paper, motivated and inspired by the above results, we modify iteration process 1.4–1.11 by the new hybrid methods for countable families of asymptotically nonexpansive mappings and semigroups in a Hilbert ... See full document

... approximating fixed points of asymptotically nonexpansive ...and strong convergence theorems are established in arbitrary Ba- nach ...and strong convergence an iterative ... See full document

... It is our purpose in this paper to give su ffi cient conditions to ensure that ¯ D ⊆ (I + r(I − T))( ¯ D) for every r > 0 and to prove the existence and convergence of a path to a fixed point of a ... See full document