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Necessary and sufficient optimality conditions for set-valued optimization problems
-
Najia Benkenza
,
Nazih Gadhi
Veröffentlicht/Copyright:
6. April 2011
Abstract
Using a special scalarization employed for the first time for the study of necessary optimality conditions in vector optimization by Ciligot-Travain [Numer. Funct. Anal. Optim. 15: 689–693, 1994], we give necessary optimality conditions for a set-valued optimization problem by establishing the existence of Lagrange–Fritz–John multipliers. Also, sufficient optimality conditions are given without any Lipschitz assumption.
Keywords.: Banach space; Lagrange–Fritz–John multipliers; optimality condition; set-valued optimization; Pareto minimal point
Received: 2008-05-06
Revised: 2009-07-10
Published Online: 2011-04-06
Published in Print: 2011-March
© de Gruyter 2011
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Schlagwörter für diesen Artikel
Banach space;
Lagrange–Fritz–John multipliers;
optimality condition;
set-valued optimization;
Pareto minimal point
Artikel in diesem Heft
- Attractivity results for a nonlinear functional integral equation
- A biregular extension theorem from a fractal surface in
- Exceptional functions and normal families of holomorphic functions with multiple zeros
- A note on the existence of three positive periodic solutions of functional difference equation
- Necessary and sufficient optimality conditions for set-valued optimization problems
- A weak type inequality for the two-dimensional diagonal Sunouchi operator on the Hardy space
- Screen slant lightlike submanifolds of indefinite cosymplectic manifolds
- Electromagnetic scattering by cylindrical orthotropic waveguide irises
- On fusion frames in Banach spaces
- A note on Muckenhoupt type weight classes on nondoubling measure spaces
- (σ, τ)-amenability of C*-algebras
- Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
- A priori estimates of solutions of boundary value problems for two-dimensional systems of singular differential inequalities
- Function classes and convergence almost everywhere
- On the equivalence of a strong symmetrical and a strong complete differentiation basis
