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weak convergence

Weak convergence of an iterative sequence for accretive operators in Banach spaces

Weak convergence of an iterative sequence for accretive operators in Banach spaces

... Let C be a nonempty closed convex subset of a smooth Banach space E and let A be an accretive operator of C into E. We first introduce the problem of finding a point u ∈ C such that Au,J(v − u) ≥ 0 for all v ∈ C, where J ...

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Weak convergence of explicit extragradient algorithms for solving equilibirum problems

Weak convergence of explicit extragradient algorithms for solving equilibirum problems

... We organize the rest of this paper in the following manner: In Sect. 2, we give some definitions and preliminary results that will be used throughout the paper. Section 3 com- prises our first subgradient algorithm and ...

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Weak convergence theorems of a hybrid algorithm in Hilbert spaces

Weak convergence theorems of a hybrid algorithm in Hilbert spaces

... algorithm. Weak convergence theorems are estab- lished in the framework of real Hilbert ...the convergence analysis is given. Weak convergence theorems are estab- lished in a real ...

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Another weak convergence theorems for accretive mappings in banach spaces

Another weak convergence theorems for accretive mappings in banach spaces

... is bounded. It follows then that d = 0. □ We now have the following weak convergence theorems without uniform convexity. Theorem 3.7 . Let E be a 2-uniformly smooth Banach space satisfying Opial ’ s condi- ...

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On weak convergence of iterates  in quantum Lp spaces
(p≥1)

On weak convergence of iterates in quantum Lp spaces (p≥1)

... Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1 -spaces for general von Neumann algebra and general JBW algebras, as well as for Se[r] ...

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Weak convergence of the complex fractional Brownian motion

Weak convergence of the complex fractional Brownian motion

... the weak convergence to the complex Brownian motion by the angles θ replacing the π, where θ ∈ (0, 2π) in equation ...the weak convergence towards two inde- pendent Gaussian processes from a ...

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On Weak Convergence Of Pettis Integrable Multifunctions

On Weak Convergence Of Pettis Integrable Multifunctions

... discuss weak convergence of a sequence of Pettis integrable multifunctions and then we use this to characterize sequential weakly compact subset of P 1 (µ, ...

8

The strong weak convergence of the quasi EA

The strong weak convergence of the quasi EA

... local convergence result that is further extended by means of the maximal coupling ...the convergence with respect to the total variation distance, a strong form of weak convergence according ...

15

On Weak Convergence of Filters and Nets

On Weak Convergence of Filters and Nets

... In conclusion, most of what we had in the ordinary setting, the interaction between filters and nets remains valid in this new setting of weak convergence, as for example, in characterizations of ...

6

Weak Convergence of Filters

Weak Convergence of Filters

... called weak convergence of filters and show that, in Uryson spaces, weak limits are ...preserve weak convergence of ...spaces, weak convergence of filters is equivalent to ...

5

Weak convergence of a Mann like algorithm for nonexpansive and accretive operators

Weak convergence of a Mann like algorithm for nonexpansive and accretive operators

... is a nonexpansive mapping, A is an α-inverse strongly accretive operator and B is an m- accretive operator, in the framework of uniformly convex and q-uniformly smooth Ba- nach spaces. The problem is quite general in the ...

9

Weak convergence of the sequential empirical processes of residuals in ARMA models

Weak convergence of the sequential empirical processes of residuals in ARMA models

... their weak convergence for some ARMA(p,q) ...the weak convergence result can have many important applications in robust ...its weak convergence for ARMA models with an aim to ...

15

The strong weak convergence of the quasi EA

The strong weak convergence of the quasi EA

... Simple omputations show that its Euler dis retisation onverges with respe t to the total variation distan e on the single interval [0, ∆] with rate ∆.. Similarly QuasiEA an be shown to o[r] ...

14

Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces

Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces

... If we put S = T , then iteration scheme (1.2) reduces to S-iteration scheme (1.1). The aim of this paper is to establish some strong convergence theorems and a weak convergence theorem of modified ...

8

Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

... We introduce an implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly con- vex Banach space which satisfies ...

12

Fixed point theorems of (a,b)-monotone mappings in Hilbert spaces

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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A modified Picard-Mann hybrid iterative algorithm for common fixed points of countable families of nonexpansive mappings

A modified Picard-Mann hybrid iterative algorithm for common fixed points of countable families of nonexpansive mappings

... Inspired and motivated by the studies mentioned above, in this paper, we use an up-to- date method for the approximation of common fixed points of countable families of non- linear operators. We introduce a modified ...

7

Convergence theorems for continuous pseudocontractive mappings in Banach spaces

Convergence theorems for continuous pseudocontractive mappings in Banach spaces

... and weak convergence theorems for a continuous pseudocontractive map- ping and a weak convergence theorem for a nonexpansive mapping in real uniformly con- vex Banach ...strong ...

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On the strong and △ convergence of SP iteration on CAT(0) space

On the strong and △ convergence of SP iteration on CAT(0) space

... weak convergence. Further, Dhompongsa and Panyanak [] obtained -convergence theorems for the Picard, Mann and Ishikawa iterations in a CAT() ...

10

On Weak Statistical Convergence

On Weak Statistical Convergence

... that weak statistical convergence is a generalization of the usual notion of weak convergence and that in finite dimensional normed spaces the concepts of norm and weak statistical ...

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