CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS

Adesanmi Alao Mogbademu

doi:10.36753/mathenot.421205

EN

CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS

Abstract

In this paper, by using the proof method of Xue, Rafiq and Zhou[19] some strong convergence results of multi-step iterative sequence are proved for nearly uniformly L− Lipschitzian mappings in real Banach spaces. Our results generalise and improve some recent results in this area of research.

Keywords

Multistep iteration,asymptotically pseudocontractive,uniformly L− Lipschitzian,uniformly k− Lipschitzian,Banach spaces

References

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[14] Olaleru, J. O. and Mogbademu, A. A., Modified Noor iterative procedure for uniformly continuous mappings in Banach spaces. Boletin de la Asociacion Matematica Venezolana Vol. XVIII (2011), no. 2, 127-135.
[15] Rafiq, A., Acu, A. M. and Sofonea, F., An iterative algorithm for two asymptotically pseudocontractive mappings. Int. J. Open Probl. Comput. Sci. Math. 2 (2009), no. 3, 372-382.
[16] Rhoades, B. E. and Soltuz, S. M., The equivalence between Mann-Ishikawa iterations and multistep iteration. Nonlinear Anal. 58 (2004), no. 1-2, 219-228.
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[18] Sahu, D. R., Fixed points of demicontinuous nearly Lipschitzian mappings in Banach spaces. Comment. Math. Univ. Carolin. 46 (2005), 653-666.
[19] Xue, Z., Rafiq, A. and Zhou, H., On the convergence of multi-step iteration for uniformly continuous Φ− Hemicontractive mappings. Abstr. Appl. Anal. (2012), Art. ID 386983, 9 pp.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Adesanmi Alao Mogbademu

Publication Date

May 15, 2015

Submission Date

April 3, 2014

Acceptance Date

October 22, 2014

Published in Issue

Year 2015 Volume: 3 Number: 1

DOI

https://doi.org/10.36753/mathenot.421205

IZ

https://izlik.org/JA75WU35WL

APA

Alao Mogbademu, A. (2015). CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Mathematical Sciences and Applications E-Notes, 3(1), 25-35. https://doi.org/10.36753/mathenot.421205

AMA

1.Alao Mogbademu A. CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Math. Sci. Appl. E-Notes. 2015;3(1):25-35. doi:10.36753/mathenot.421205

Chicago

Alao Mogbademu, Adesanmi. 2015. “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”. Mathematical Sciences and Applications E-Notes 3 (1): 25-35. https://doi.org/10.36753/mathenot.421205.

EndNote

Alao Mogbademu A (May 1, 2015) CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Mathematical Sciences and Applications E-Notes 3 1 25–35.

IEEE

[1]A. Alao Mogbademu, “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 25–35, May 2015, doi: 10.36753/mathenot.421205.

ISNAD

Alao Mogbademu, Adesanmi. “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”. Mathematical Sciences and Applications E-Notes 3/1 (May 1, 2015): 25-35. https://doi.org/10.36753/mathenot.421205.

JAMA

1.Alao Mogbademu A. CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Math. Sci. Appl. E-Notes. 2015;3:25–35.

MLA

Alao Mogbademu, Adesanmi. “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 1, May 2015, pp. 25-35, doi:10.36753/mathenot.421205.

Vancouver

1.Adesanmi Alao Mogbademu. CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Math. Sci. Appl. E-Notes. 2015 May 1;3(1):25-3. doi:10.36753/mathenot.421205