Scholarlink

<p>In the context of metric spaces, the purpose of the current paper is to establish the Milyutin-type regularity of a generally composite mapping under suitable conditions of regularities of component ones on an arbitrary subset of the product space. This theorem also covers the one given in Ioffe (SIAM J Optim 21(4):1345–1370, 2011) . By using the regularity of the composition mapping, we directly derive a general cyclic fixed point theorem for set-valued mappings defined on coherent complete metric spaces that covers many results in the literature, for instance (Ioffe in J Fixed Point Theory Appl 15:67–99, 2014, Tron in Set-Valued Var Anal 31:17, 2023). In addition, we want to emphasize that our approach is different from the ones used in these works.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Metric perturbation of Milyutin-type regularity and application to cyclic fixed point theorems

  • 期刊论文

  • 发表日期：

    2025年9月24日

查看全文
  • Huynh Van Ngai,
  • Nguyen Huu Tron,
  • Dao Ngoc Han

摘要

In the context of metric spaces, the purpose of the current paper is to establish the Milyutin-type regularity of a generally composite mapping under suitable conditions of regularities of component ones on an arbitrary subset of the product space. This theorem also covers the one given in Ioffe (SIAM J Optim 21(4):1345–1370, 2011) . By using the regularity of the composition mapping, we directly derive a general cyclic fixed point theorem for set-valued mappings defined on coherent complete metric spaces that covers many results in the literature, for instance (Ioffe in J Fixed Point Theory Appl 15:67–99, 2014, Tron in Set-Valued Var Anal 31:17, 2023). In addition, we want to emphasize that our approach is different from the ones used in these works.