The convergence of mean value iteration for a family of maps

Abstract


We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with \(\lim_{n\rightarrow \infty}an\neq0\). We prove convergence results for this iteration when applied to strongly pseudocontractive or strongly accretive maps.

Authors

Stefan M. Soltuz
Tiberiu Popoviciu Institute of Numerical Analysis

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

Keywords

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Paper coordinates

B.E. Rhoades, Ş.M. Şoltuz , The convergence of mean value iteration for a family of maps, Int. J. Math. Math. Sci. 2005: 21, 3479-3485. (published in 28 dec. 2005)

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About this paper

Journal

International Journal of Mathematics and Mathematical Sciences

Publisher Name

Wiley

DOI
Print ISSN

0161-1712

Online ISSN

1687-0425

google scholar link

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2005

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