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

Eric U. Ofoedu | Zendy; Yekini Shehu | Zendy

Open Access

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

Author(s) -

Eric U. Ofoedu,

Yekini Shehu

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/910487

Subject(s) - mathematics , banach space , sequence (biology) , convergence (economics) , countable set , path (computing) , zero (linguistics) , algorithm , discrete mathematics , pure mathematics , computer science , linguistics , philosophy , genetics , economics , biology , programming language , economic growth

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

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