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Journal of Optimization Theory and Applications

, Volume 38, Issue 1, pp 33–42 | Cite as

Convex programming with set-inclusive constraints and its applications to generalized linear and fractional programming

  • C. Singh
Contributed Papers

Abstract

Duality results are established in convex programming with the set-inclusive constraints studied by Soyster. The recently developed duality theory for generalized linear programs by Thuente is further generalized and also brought into the framework of Soyster's theory. Convex programming with set-inclusive constraints is further extended to fractional programming.

Key Words

Duality theory convex programming set-inclusive constraints generalized linear programming fractional programming 

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References

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    Soyster, L. A.,Convex Programming with Set-Inclusive Constraints and Application to Inexact Linear Programming, Operations Research, Vol. 2, pp. 1154–1157, 1973.Google Scholar
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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • C. Singh
    • 1
  1. 1.Saint Lawrence UniversityCanton

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