• 3
  • 3
  • 82
  • 82
IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 14990
   School of Mathematics
  Title: Multiobjective problems: Enhanced necessary conditions and new constraint qualifications via convexificators
  Author(s): Soghra Nobakhtian (Joint with M. Alavi Hejazi and N. Movahedian)
  Status: To Appear
  Journal: Numerical Functional Analysis and Optimization
  Supported by: IPM
  Abstract:
In this paper, we study necessary optimality conditions for local Pareto and weak Pareto solutions of multiobjective problems involving inequality and equality constraints in terms of convexificators. We develop the enhanced Karush-Kuhn-Tucker conditions and introduce the associated pseudonormality and quasinormality conditions. We also introduce several other new constraint qualifications which entirely depend on the feasible set. Then a connecting link between these constraint qualifications is presented. Moreover, we provide a number of examples that clarify the interrelations between the different results that we have established.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right