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Some strong convergence results of random iterative algorithms with errors in Banach spaces

Renu Chugh|Vivek Kumar|Satish Narwal
대한수학회 (The Korean Mathematical Society)|2016.01|대한수학회논문집 (Communications of the KMS)|제31권 제1호|pp. 147-161

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참고문헌

키워드

stabilityvariational inequalityaccretive operatorrandom iterative schemes
주제분류수학

초록

In this paper, we study the strong convergence and stability of a new two step random iterative scheme with errors for accretive Lipschitzian mapping in real Banach spaces. The new iterative scheme is more acceptable because of much better convergence rate and less restrictions on parameters as compared to random Ishikawa iterative scheme with errors. We support our analytic proofs by providing numerical examples. Applications of random iterative schemes with errors to variational inequality are also given. Our results improve and establish random generalization of results obtained by Chang \cite{4}, Zhang \cite{31} and many others.

Abstract

In this paper, we study the strong convergence and stability of a new two step random iterative scheme with errors for accretive Lipschitzian mapping in real Banach spaces. The new iterative scheme is more acceptable because of much better convergence rate and less restrictions on parameters as compared to random Ishikawa iterative scheme with errors. We support our analytic proofs by providing numerical examples. Applications of random iterative schemes with errors to variational inequality are also given. Our results improve and establish random generalization of results obtained by Chang \cite{4}, Zhang \cite{31} and many others.

참고문헌 (32)

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