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Sufficient optimality conditions and duality for a quasiconvex programming problem

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Under differentiability assumptions, Fritz John Sufficient optimality conditions are proved for a nonlinear programming problem in which the objective function is assumed to be quasiconvex and the constraint functions are assumed to quasiconcave/strictly pseudoconcave. Duality theorems are proved for Mond-Weir type duality under the above generalized convexity assumptions.

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The first author is thankful to the Natural Science and Engineering Research Council of Canada for financial support through Grant No. A-5319. The authors are thankful to Professor B. Mond for suggestions that improved the original draft of the paper.

Communicated by G. Leitmann

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Bector, C.R., Chandra, S. & Bector, M.K. Sufficient optimality conditions and duality for a quasiconvex programming problem. J Optim Theory Appl 59, 209–221 (1988). https://doi.org/10.1007/BF00938309

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Key Words

  • Fritz John sufficient optimality conditions
  • Mond-Weir duality