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Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
-
G. J. Zalmai
and
Qinghong Zhang
Published/Copyright:
July 30, 2010
Abstract
In this paper, we formulate and discuss a fairly large number of sets of global parametric sufficient efficiency criteria under various generalized (η, ρ)-invexity assumptions, and prove a semiinfinite version of a well-known second-order sufficiency result for a semiinfinite multiobjective fractional programming problem.
Keywords.: Semiinfinite programming; multiobjective fractional programming; generalized invex functions; infinitely many equality and inequality constraints; parametric sufficient efficiency conditions
Received: 2007-09-05
Revised: 2009-06-16
Published Online: 2010-07-30
Published in Print: 2010-December
© de Gruyter 2010
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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
