Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of -Accretive Mappings in Uniformly Convex Banach Spaces

E. U. Ofoedu and Y. Shehu

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-18

Abstract:

We prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of -accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space. Consequently, we obtain strong convergence theorems for a countably infinite family of pseudocontractive mappings. Our theorems extend and improve some important results which are announced recently by various authors.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:910487

DOI: 10.1155/2009/910487

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