SOME STRONG CONVERGENCE RESULTS OF RANDOM ITERATIVE ALGORITHMS WITH ERRORS IN BANACH SPACES

- Journal title : Communications of the Korean Mathematical Society
- Volume 31, Issue 1, 2016, pp.147-161
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2016.31.1.147

Title & Authors

SOME STRONG CONVERGENCE RESULTS OF RANDOM ITERATIVE ALGORITHMS WITH ERRORS IN BANACH SPACES

Chugh, Renu; Kumar, Vivek; Narwal, Satish;

Chugh, Renu; Kumar, Vivek; Narwal, Satish;

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 [4], Zhang [31] and many others.

Keywords

random iterative schemes;stability;accretive operator;variational inequality;

Language

English

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