标题:Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of <svg style="vertical-align:-0.144pt;width:16.0375px;" id="M1" height="10.1875" version="1.1" viewBox="0 0 16.0375 10.1875" width="16.0375" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 17.93px; " x="0" y="0">𝑚</tspan>
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</svg>-Accretive Mappings in Uniformly Convex Banach Spaces
期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2009
卷号:2009
DOI:10.1155/2009/910487
出版社:Hindawi Publishing Corporation
摘要: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.