Sigma supporting cone and optimality conditions in non-convex problems

Hassani S., MƏMMƏDOV M.

Far East Journal of Mathematical Sciences, vol.91, no.2, pp.169-190, 2014 (Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 91 Say: 2
  • Nəşr tarixi: 2014
  • jurnalın adı: Far East Journal of Mathematical Sciences
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.169-190
  • Açar sözlər: Non-convex analysis, Nonconvex sets, Optimality conditions, Supporting cone
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In this paper, a new supporting function for characterizing non-convex sets is introduced. The notions of σ-supporting cone and maximal conic gap are proposed and some properties are investigated. By applying these new notions, we establish the optimality conditions considered in [7] for a broader class of finite dimensional normed spaces in terms of weak subdifferentials.