Huu Tron Nguyen

Metric regularity of composition set-valued mappings: metric setting and coderivative conditions

  • Marius Durea
  • Van Ngai Huynh
  • Huu Tron Nguyen
  • Radu Strugariu
    • Categories Convex and Nonsmooth Optimization

    The paper concerns a new method to obtain a direct proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the unification and refinement of several methods developed somehow separately in several works of the authors. In fact, this work is a synthesis and a precise specialization to a … Read more

    Metric regularity of the sum of multifunctions and applications

  • Van Ngai Huynh
  • Huu Tron Nguyen
  • Michel Thera
    • Categories Convex and Nonsmooth Optimization, Infinite Dimensional Optimization

    In this work, we use the theory of error bounds to study of metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions. Our results subsume some recent results by Durea and Strugariu CitationXLIM (UMR-CNRS 6172) … Read more