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Mathematische Operationsforschung und Statistik. Series Optimization Volume 9, 1978 - Issue 4
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Original Articles

Necessary optimality conditions for programming problems over cone domains

C.B. Alders Department of Statistics, Iowa State University, Snedecor Hall, Ames, Iowa, 50010, U.S.A.
&
V.A. Sposito Department of Statistics, Iowa State University, Snedecor Hall, Ames, Iowa, 50010, U.S.A.
Pages 515-521 | Published online: 27 Jun 2007

References

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  • Borwein , J.M. 1976 . A note on Fritz John sufficiency . Bull. Austral. Math. Soc , 15 : 293 – 296 .
  • Craven , B.D. and Mond , B. 1973 . Real and complex Fritz John theorem . J, Math. Anal. AppL , 44 : 773 – 778 .
  • Gulati , T.R. 1974 . A Fritz John type sufficient optimality theorem in complex space . Bull. Austral. Math. Soc , 11 : 219 – 224 .
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  • Mangasarian , O.L. 1969 . Nonlinear programming , New York : McGraw-Hill .
  • Mangasarian , O.L. and Fromovitz , S. 1967 . The Fritz John necessary optimality conditions in presence of equality and inequality constraints . J.Math. Anal. AppL , 17 : 37 – 47 .
  • Sposito , V.A. 1974 . Modified regularity conditions for nonlinear programming problems over mixed cone domains . J. Math. Programming , 6 : 167 – 179 .
  • Sposito , V.A. 1975 . Linear and Nonlinear programming , Ames, Iowa : Iowa State Press .
  • Sposito , V.A. and David , H.T. 1971 . Saddlepoint optimality criteria of nonlinear programming problems over cones without differentiability . SIAM J. AppL Math , 20 : 698 – 708 .
  • Sposito , V.A. and David , H.T. 1972 . A note on Farkas lemmas over cone domains . SIAM J. AppL Math , 22 : 356 – 358 .

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