Existence of an interior path leading to the solution point of a class of fixed point problems

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• 作者：Menglong Su (1)
  Xiaohui Qian (2)
  
  1. School of Mathematical Sciences ; Luoyang Normal University ; Luoyang ; 471022 ; P.R. China
  2. College of Science ; Zhongyuan University of Technology ; Zhengzhou ; 450007 ; P.R. China
  
• 关键词：interior path following method ; fixed point problems ; constructive proof
• 刊名：Journal of Inequalities and Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,100 KB
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• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

In this paper, we propose a new set of unbounded conditions to make the interior path following method able to solve fixed point problems with both inequality and equality constraints in a class of unbounded nonconvex set. Under suitable assumptions, we give a constructive proof of the existence of interior path leading to the solution point of this class of fixed point problems.