Skip to main content
SpringerLink
Log in

On Mixed Symmetric Duality in Mathematical Programming

  • Theoretical Papers
  • Published:
OPSEARCH Aims and scope Submit manuscript

Abstract

A new symmetric dual formulation, called the mixed symmetric dual, is presented for a class of nonlinear programming problems and various duality theorems are established. This mixed formulation unifies the two existing and well known symmetric dual formulations in the literature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. BALAS, E. (1970) Minimax and duality for linear and nonlinear mixed integer programming, in J. Abadie (ed.), Integer and Nonlinear Programming, North-Holland, Amsterdam.

    Google Scholar 

  2. BSZARAA, M.S. and GOODE, J.J. (1973) On Isymmrtic duality in nonliner programming, Operations Research 21, 1–9.

    Article  Google Scholar 

  3. CHANDRA, S., CRAVEN, B.D. and MOND, B., (1985) Symmetric dual fractional programming, Zeitschrift für Operations Research, 29 59–64.

    Google Scholar 

  4. DANTZIG, G.B., EISENBERG, E. and COTTLE, W.W. (1965) Symmetric dual nonlinear programming, Pacific Journal of Mathematics, 15, 809–812.

    Article  Google Scholar 

  5. DORN, W.S. (1966) Self dual quadratic programs, SIAM Journal on Applied Mathematics 14, 420–423.

    Article  Google Scholar 

  6. KUMAR, V., HUSAIN, I. and CHANDRA, S. (1995) Symmetric duality for minimax nonlinear mixed integer programming, European Journal of Operational Research, 80, 425–430.

    Article  Google Scholar 

  7. MANGASARIAN, O.L., (1969) Nonlinear Programming, Mc Graw-Hill, New York.

    Google Scholar 

  8. MOND, B. (1965) A Symmetric dual theorem for nonlinear programs, Quarterly Journal of Applied Mathematics 23, 265–269.

    Article  Google Scholar 

  9. MOND, B. and WEIR, T. (1981) Generalized concavity and duality in Generalized Concauity in Optimization and Economics, (eds) S. Schaible and Ziemba, Academic Press, New York.

  10. MOND, B. and HANSON, M.A. (1984) On duality with generalized convexity, Math Operationsforsch: u. Statist., Ser. Optimization, 15, 313–317.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Hauz Khas, New Delhi, 110016, India

    S. Chandra &  Abha

  2. Department of Mathematics, Regional Engineering College, Srinagar, Kashmir, India

    I. Husain

Authors
  1. S. Chandra
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Husain
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Abha
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chandra, S., Husain, I. & Abha On Mixed Symmetric Duality in Mathematical Programming. OPSEARCH 36, 165–171 (1999). https://doi.org/10.1007/BF03398571

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03398571

Search

Navigation