Generalized Monotone Mapping with an Application for Solving a Variational Inclusion Problem

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• 作者：R. Ahmad (1)
  M. Akram (1)
  J.-C. Yao (2)
  
• 关键词：Generalized monotone mapping ; Algorithm ; Resolvent operator ; Variational inclusion ; Cocoercive
• 刊名：Journal of Optimization Theory and Applications
• 出版年：2013
• 出版时间：May 2013
• 年：2013
• 卷：157
• 期：2
• 页码：324-346
• 全文大小：674KB
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• 作者单位：R. Ahmad (1)
  M. Akram (1)
  J.-C. Yao (2)
  
  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India
  2. Center of General Education, Kaohsiung Medical University, Kaohsiung, 807, Taiwan
  
• ISSN：1573-2878

文摘

The aim of this paper is to define a generalized monotone mapping, which is the sum of symmetric cocoercive mapping and symmetric monotone mapping. The resolvent operator associated with generalized monotone mapping is defined and some of its properties are shown. We solve a variational inclusion problem using these new concepts. For illustration, some examples are given.