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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

international journal of mathematics and mathematical sciences

Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>m</mml:mi></mml:math>-Accretive Mappings in Uniformly Convex Banach Spaces

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