Krasnoselskii-type algorithm for zeros of strongly monotone Lipschitz maps in classical banach spaces

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• 作者：C E Chidume ; A U Bello ; B Usman
• 关键词：Strongly monotone ; Lipschitz ; H枚lder continiuty
• 刊名：SpringerPlus
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：4
• 期：1
• 全文大小：1482KB
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• 作者单位：C E Chidume (1)
  A U Bello (1) (2)
  B Usman (1)
  
  1. African University of Science and Technology, Abuja, Nigeria
  2. Federal University, Dutsin-Ma, Dutsin-Ma, Katsina State, Nigeria
  
• 刊物类别：Science, general;
• 刊物主题：Science, general;
• 出版者：Springer International Publishing
• ISSN：2193-1801

文摘

Let \(E=L_p\), \(1<p<\infty \), and \(A:E\rightarrow E^*\) be a strongly monotone and Lipschitz mapping. A Krasnoselskii-type sequence is constructed and proved to converge strongly to the unique solution of \(Au=0\). Furthermore, our technique of proo f is of independent interest. Keywords Strongly monotone Lipschitz H枚lder continiuty