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On multiobjective nonlinear programming with support functions
-
Iqbal Husain
,
Aquil Ahmed
Published/Copyright:
October 20, 2010
Abstract
A multiobjective programming problem containing support functions is considered. Wolfe and Mond–Weir type vector duals to this problem are constructed and various duality results are validated under invexity and generalized invexity assumptions. Special cases are generated from these results.
Keywords.: Multiobjective programming problem; support function; Wolfe dual; Mond–Weir dual; invexity; generalized invexity; special cases
Received: 2007-07-20
Revised: 2009-07-10
Published Online: 2010-10-20
Published in Print: 2010-December
© de Gruyter 2010
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Keywords for this article
Multiobjective programming problem;
support function;
Wolfe dual;
Mond–Weir dual;
invexity;
generalized invexity;
special cases
Articles in the same Issue
- On multiobjective nonlinear programming with support functions
- Nirenberg-type problems in Banach lattices
- Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
- Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
- BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
- Remarks on the spectrum of a compact convex set of compact operators
- Harmonic sums and integral representations
- On a nonlinear dynamic integrodifferential equation on time scales
- An oscillation criteria for third order neutral delay differential equations
- On univalent functions defined by a generalized differential operator
