Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model

  • Huynh Van Ngai
  • Nguyen Huu Tron
  • Nguyen Van Vu
  • Michel ThéraEmail author


This paper investigates a new general pseudo subregularity model which unifies some important nonlinear (sub)regularity models studied recently in the literature. Some slope and abstract coderivative characterizations are established.


Abstract subdifferential Metric regularity Directional metric regularity Metric subregularity Directional Hölder metric subregularity Directional metric pseudo-subregularity Coderivative Slope 

Mathematics Subject Classification (2010)

49J52 49J53 90C30 


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We gratefully acknowledge the referees for their constructive comments and suggestions.


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Authors and Affiliations

  1. 1.Department of MathematicsQuy Nhon UniversityQuy NhonVietnam
  2. 2.XLIM UMR-CNRS 7252Université de LimogesLimogesFrance
  3. 3.Centre for Informatics and Applied Optimisation (CIAO)Federation University AustraliaMount HelenAustralia

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