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Semicontinuity and Quasiconvex Functions

Author

Listed:
  • R. N. Mukherjee

    (Banaras Hindu University)

  • L. V. Reddy

    (Banaras Hindu University)

Abstract

Criteria are derived for quasiconvex functions under lower semicontinuity and upper semicontinuity conditions. The results thus obtained generalize earlier results for convex functions. We also give new conditions under which a given function is r-convex in the sense given by Avriel.

Suggested Citation

  • R. N. Mukherjee & L. V. Reddy, 1997. "Semicontinuity and Quasiconvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 94(3), pages 715-726, September.
    • Handle: RePEc:spr:joptap:v:94:y:1997:i:3:d:10.1023_a:1022609218907
    DOI: 10.1023/A:1022609218907
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    References listed on IDEAS

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    1. Illés, T. & Kassay, G., 1994. "Farkas type theorems for generalized convexities," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 5(2), pages 225-239.
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    Cited by:

    1. X. M. Yang & X. Q. Yang & K. L. Teo, 2001. "Characterizations and Applications of Prequasi-Invex Functions," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 645-668, September.

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