Modified Noor iterations with errors for nonlinear equations in Banach spaces

Volume 7, Issue 3, pp 180--187 http://dx.doi.org/10.22436/jnsa.007.03.04

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Authors

G. A. Okeke - Department of Mathematics, Faculty of Science, University of Lagos, Akoka, Yaba, Lagos, Nigeria. J. O. Olaleru - Department of Mathematics, Faculty of Science, University of Lagos, Akoka, Yaba, Lagos, Nigeria.

Abstract

We introduce a new three step iterative scheme with errors to approximate the unique common fixed point of a family of three strongly pseudocontractive (accretive) mappings on Banach spaces. Our results are generalizations and improvements of results obtained by several authors in literature. In particular, they generalize and improve the results of Mogbademu and Olaleru [A. A. Mogbademu and J. O. Olaleru, Bull. Math. Anal. Appl., 3 (2011), 132-139], Xue and Fan [Z. Xue and R. Fan, Appl. Math. Comput., 206 (2008), 12-15] which is in turn a correction of Rafiq [A. Rafiq, Appl. Math. Comput., 182 (2006), 589-595].

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Keywords

• Three-step iterative scheme with errors
• Banach spaces
• strongly pseudocontractive operators
• unique common fixed point
• strongly accretive.

MSC

•  47H10
•  54H25

References

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