International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 910487, 18 pages
doi:10.1155/2009/910487
Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces
E.U. Ofoedu1
and Y. Shehu2
1Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
2Department of Mathematics, University of Nigeria, Nsukka, Enugu, Nigeria
Abstract
We prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of m-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.