A Necessary Condition for a Terminal Point Problem Governed by a Discrete Inclusion System


Değer Ö.

4th International Conference of Mathematical Sciences, İstanbul, Türkiye, 17 - 21 Haziran 2020, ss.38

  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.38

Özet

In this talk we will give a necessary condition for K-optimality of the following Mayer type optimization problem

min x_T

x_{t+1} ∈ F_t(x_t), t = 0, ..., T − 1

x_0 ∈ M

where T ∈ N, the F_t : X_t → X_{t+1}, t = 0, ..., T − 1, are Lipschitzian set-valued mappings in neighborhoods of the points x_t, t = 0, ..., T − 1 respectively, the X_t, t = 0, ..., T, are finite-dimensional Euclidean spaces, and M ⊂ X_0. We also assume that the space X_T is partially ordered by a proper cone K.