Optimality conditions via generalized radial epiderivatives in nonconvex set-valued optimization

Kasimbeyli R., İNCEOĞLU G.

24th Mini EURO Conference on Continuous Optimization and Information-Based Technologies in the Financial Sector, MEC EurOPT 2010, İzmir, Turkey, 23 - 26 June 2010, pp.148-154 identifier

  • Publication Type: Conference Paper / Full Text
  • City: İzmir
  • Country: Turkey
  • Page Numbers: pp.148-154
  • Keywords: Generalized radial epiderivative, Optimality conditions, Radial epiderivative, Set valued optimization
  • Anadolu University Affiliated: Yes

Abstract

In this paper, the generalized radial epiderivative for set-valued maps is introduced and its relationship to the radial epiderivative is investigated. Existence conditions for generalized radial epiderivatives are established and unified necessary and sufficient optimality condition in nonconvex setvalued optimization is derived in terms of the generalized radial epiderivative. © Izmir University of Economics, Turkey, 2010.