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Sufficiency and Duality in Multiobjective Programming with Generalized (F, ρ)-Convexity
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I. Ahmad
Published/Copyright:
June 9, 2010
Abstract
A multiobjective nonlinear programming problem is considered. Sufficiency theorems are derived for efficient and properly efficient solutions under generalized (F, ρ)-convexity assumptions. Weak, strong and strict converse duality theorems are established for a general Mond–Weir type dual relating properly efficient solutions of the primal and dual problems.
Received: 2002-11-11
Revised: 2003-08-28
Published Online: 2010-06-09
Published in Print: 2005-June
© Heldermann Verlag
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Articles in the same Issue
- On Nicely Definable Forcing Notions
- Sufficiency and Duality in Multiobjective Programming with Generalized (F, ρ)-Convexity
- A Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems for the One-Dimensional p-Laplacian
- Separately Nowhere Constant Functions; n-Cube and α-Prism Densities
- The Notion of V-r-Invexity in Differentiable Multiobjective Programming
- Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L1 Data
- Solutions of Nonlinear Singular Boundary Value Problems
- Orthogonal Bases for Spaces of Complex Spherical Harmonics
- Blow up for the Wave Equation with a Fractional Damping
- Hadamard Product of Certain Classes of Functions
