Convergence of iterative algorithms to common random fixed points of random operators

Ismat Beg; Mujahid Abbas

doi:10.1155/JAMSA/2006/89213

Convergence of iterative algorithms to common random fixed points of random operators

Ismat Beg
, Mujahid Abbas

Construction Management and Quantity Surveying

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We prove the existence of a common random fixed point of two asymptotically nonexpansive random operators through strong and weak convergences of an iterative process. The necessary and sufficient condition for the convergence of sequence of measurable functionsto a random fixed point of asymptotically quasi-nonexpansive random operators in uniformly convex Banach spaces is also established.

Original language	English
Article number	89213
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	2006
DOIs	https://doi.org/10.1155/JAMSA/2006/89213
Publication status	Published - 2006

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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abstract = "We prove the existence of a common random fixed point of two asymptotically nonexpansive random operators through strong and weak convergences of an iterative process. The necessary and sufficient condition for the convergence of sequence of measurable functionsto a random fixed point of asymptotically quasi-nonexpansive random operators in uniformly convex Banach spaces is also established.",

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AU - Abbas, Mujahid

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AB - We prove the existence of a common random fixed point of two asymptotically nonexpansive random operators through strong and weak convergences of an iterative process. The necessary and sufficient condition for the convergence of sequence of measurable functionsto a random fixed point of asymptotically quasi-nonexpansive random operators in uniformly convex Banach spaces is also established.

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DO - 10.1155/JAMSA/2006/89213

M3 - Article

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JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

M1 - 89213

ER -

Convergence of iterative algorithms to common random fixed points of random operators

Abstract

ASJC Scopus subject areas

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