Weak lower subdifferentiability in fractional programming

M. Boncompte; J. E. Martínez-Legaz

doi:https://doi.org/10.1016/0969-6016(94)90027-2

Weak lower subdifferentiability in fractional programming

M. Boncompte, J. E. Martínez-Legaz

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

Abstract

We consider generalized fractional programming problems for which numerators and denominators appearing in the objective function satisfy certain tangential convexity conditions ensuring its weak lower subdifferentiability. Estimates of the weak lower subdifferential in terms of the generalized subdifferentials of the numerators and denominators are provided and necessary and sufficient Kuhn-Tucker type optimality conditions involving these sets are obtained for problems with quasiconvex constraints. © 1994.

Original language	English
Pages (from-to)	265-270
Journal	International Transactions in Operational Research
Volume	1
DOIs	https://doi.org/10.1016/0969-6016(94)90027-2
Publication status	Published - 1 Jan 1994

Keywords

nonlinear
optimization

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https://doi.org/10.1016/0969-6016(94)90027-2

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title = "Weak lower subdifferentiability in fractional programming",

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N2 - We consider generalized fractional programming problems for which numerators and denominators appearing in the objective function satisfy certain tangential convexity conditions ensuring its weak lower subdifferentiability. Estimates of the weak lower subdifferential in terms of the generalized subdifferentials of the numerators and denominators are provided and necessary and sufficient Kuhn-Tucker type optimality conditions involving these sets are obtained for problems with quasiconvex constraints. © 1994.

AB - We consider generalized fractional programming problems for which numerators and denominators appearing in the objective function satisfy certain tangential convexity conditions ensuring its weak lower subdifferentiability. Estimates of the weak lower subdifferential in terms of the generalized subdifferentials of the numerators and denominators are provided and necessary and sufficient Kuhn-Tucker type optimality conditions involving these sets are obtained for problems with quasiconvex constraints. © 1994.

KW - nonlinear

KW - optimization

U2 - https://doi.org/10.1016/0969-6016(94)90027-2

DO - https://doi.org/10.1016/0969-6016(94)90027-2

M3 - Article

SN - 0969-6016

VL - 1

SP - 265

EP - 270

JO - International Transactions in Operational Research

JF - International Transactions in Operational Research

ER -

Weak lower subdifferentiability in fractional programming

Abstract

Keywords

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