Weak and Strong convergence
Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense
... the convergence of Ishikawa iteration process for the class of asymptotically κ-strict pseudocontractive mappings in the intermediate sense which is not necessarily ...Lipschitzian. Weak convergence ...
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Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces
... 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 − Ty ≤ x − y ...
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Weak and strong convergence theorems of implicit iteration process on Banach spaces
... considered weak convergence theorems, and few researchers considered strong convergence theo- rem under suitable ...the strong convergence ...
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Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings
... Fixed-point iteration process for nonexpansive mappings in Banach spaces includ- ing Mann and Ishikawa iteration processes has been studied extensively by many au- thors to solve the nonlinear operator equations in ...
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Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
... prove weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces which were first introduced by Butnariu et ...
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Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings
... establish weak and strong convergence theorems for finding common fixed points of a countable family of nonexpansive mappings in a real Hilbert ...many convergence theorems by 2, Theorems 2 ...
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Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
... a weak convergence theorem for the non- expansive semigroup in a uniformly convex Banach space which satisfies Opial’s condi- ...the strong convergence of the implicit iterative process (see ...
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Weak and strong convergence theorems for common zeros of accretive operators
... Zero problems of accretive operators recently have been extensively studied (see [–] and the references therein) because of their important applications in real world. Proximal point algorithm, which was proposed by ...
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Weak and strong convergence of an iterative algorithm for Lipschitz pseudo-contractive maps in Hilbert spaces
... obtain weak convergence theorem for nonexpansive maps. To obtain strong convergence of Mann to a fixed point of a λ −strictly pseudo-contractive map or even a nonexpansive map in the setting ...
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Weak and Strong Convergence of Multistep Iteration for Finite Family of Asymptotically Nonexpansive Mappings
... gave weak and strong convergence theorems for asymptotically nonexpansive mappings in a Banach ...gave weak and strong convergence theorems for a new three-step iterative scheme ...
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Strong convergence theorem of a new iterative method for weak contractions and comparison of the rate of convergence in Banach space
... of weak contractions in a Banach space and then prove strong convergence theorem of the proposed method under some control ...of convergence between the Noor iteration and our ...Keywords: ...
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Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
... Butnariu, D, Reich, S, Zaslavski, AJ: Weak convergence of orbits of nonlinear operators in reflexive Banach spaces.. Numer Funct Anal Optim.[r] ...
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An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces
... Kang, “Weak and strong convergence for common fixed points of a pair of nonexpansive and asymptotically nonexpansive mappings,” Taiwanese Journal of Mathematics , vol. Liou, “Strong conv[r] ...
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New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings
... the weak and strong convergence problems of iterative sequences with errors for nonexpansive mappings, asymptotically nonexpansive mappings in the setting of Hilbert space or Banach space, have been ...
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Strong and weak convergence theorems for split equality generalized mixed equilibrium problem
... In this paper, inspired by algorithm (.), we introduce a modified algorithm to obtain weak and strong convergence results for the split equality generalized mixed equilibrium problem. Also, we give ...
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Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings
... The asymptotically nonexpansive mappings have been introduced by Goebel and Kirk in 1972. Since then, a large number of authors have studied the weak and strong convergence problems of the iterative ...
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A modified Picard-Mann hybrid iterative algorithm for common fixed points of countable families of nonexpansive mappings
... An up-to-date method is used for approximating common fixed points of countable families of nonlinear mappings. A modified Picard-Mann hybrid iterative algorithm is introduced with the help of our method for the class of ...
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Further study of complete convergence for weighted sums of PNQD random variables
... the strong law of large numbers; Wang et ...Marcinkiewicz’s weak law of large numbers; Wu [] obtained the strong convergence properties of Jamison weighted sums, the three series theorem and ...
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Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces
... Abstract. The purpose of this paper is to study modified S-iteration process to converge to common fixed point for two nearly asymptotically nonexpansive mappings in the framework of Banach spaces. Also we establish some ...
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Fixed point theorems of (a,b)-monotone mappings in Hilbert spaces
... Keywords: fixed point; demiclosed principle; strong convergence; weak convergence; nonspreading mapping; hybrid mapping; nonexpansive mapping; (a,b)- monotone mapping; Mann’s type iterati[r] ...
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