Characterization for the convergence of Krasnoselskij iteration for non-Lipschitzian operators

Abstract

Authors

Stefan M. Soltuz
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

B.E. Roades
Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

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Paper coordinates

Stefan M. Soltuz, B.E. Roades, Characterization for the Convergence of Krasnoselskij Iteration for Non-Lipschitzian Operators, International Journal of Mathematics and Mathematical Sciences, Volume 2008, Article ID 630589, 5 pages, doi:10.1155/2008/630589

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Journal

International Journal of Mathematics and Mathematical Sciences

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DOI
Print ISSN

0161-1712

Online ISSN

1687-0425

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[1] M. A. Krasnosel’skii, “Two remarks on the method of successive approximations,” Uspekhi Matematich-eskikh Nauk, vol. 10, no. 1, pp. 123–127, 1955.
[2]  M. O. Osilike, “Iterative solution of nonlinear equations of the φ-strongly accretive type,” Journal of Mathematical Analysis and Applications, vol. 200, no. 2, pp. 259–271, 1996.
[3] C. E. Chidume and C. O. Chidume, “Convergence theorems for fixed points of uniformly continuousgeneralized φ-hemi-contractive mappings,” Journal of Mathematical Analysis and Applications, vol. 303,no. 2, pp. 545–554, 2005.
[4] S. M. Soltuz, “New technique for proving the equivalence of Mann and Ishikawa iterations,” Revued’Analyse Numerique et de Theorie de l’Approximation, vol. 34, no. 1, pp. 103–108, 2005.

2008

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