Radu Strugariu

Metric subregularity of composition set-valued mappings with applications to fixed point theory

  • Marius Durea
  • Radu Strugariu
    • Categories Nonsmooth Optimization Tags

    In this paper we underline the importance of the parametric subregularity property of set-valued mappings, defined with respect to fixed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at … Read more

    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