COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 47, Issue 5, 2010, pp.973-985
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2010.47.5.973

Title & Authors

COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME

Khan, Safeer Hussain; Kim, Jong-Kyu;

Khan, Safeer Hussain; Kim, Jong-Kyu;

Abstract

We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al. [2] to the case of two mappings while on the other hand, it is faster than both the Ishikawa type scheme and the one studied by Yao and Chen [18] for the purpose in some sense. Using this scheme, we prove some weak and strong convergence results for approximating common fixed points of two nonexpansive self mappings. We also outline the proofs of these results to the case of nonexpansive nonself mappings.

Keywords

iteration scheme;nonexpansive self mapping;nonexpansive nonself mapping;rate of convergence;common fixed point;the condition (A');weak and strong convergence;

Language

English

Cited by

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