Article
Licensed
Unlicensed
Requires Authentication
The Notion of V-r-Invexity in Differentiable Multiobjective Programming
-
T. Antczak
Published/Copyright:
June 9, 2010
Abstract
In this paper, a generalization of convexity, namely V-r-invexity, is considered in the case of nonlinear multiobjective programming problems where the functions involved are differentiable. The assumptions on Pareto solutions are relaxed by means of V-r-invex functions. Also some duality results are obtained for such optimization problems.
Key words and phrases.: Multiobjective programming; (weak) Pareto optimal solution; (strictly) V-r-invex function with respect to η; optimality conditions; duality
Received: 2002-10-01
Revised: 2003-03-31
Published Online: 2010-06-09
Published in Print: 2005-June
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
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
Keywords for this article
Multiobjective programming;
(weak) Pareto optimal solution;
(strictly) V-r-invex function with respect to η;
optimality conditions;
duality
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
