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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 41, 1997 - Issue 3
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Original Articles

Optimality and Duality in Fractional Programming Involving Semilocally Convex and Related Functions

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Pages 237-255 | Published online: 20 Mar 2007

References

  • Charnes , A. and Cooper , W.W. 1962 . Programming with Fractional Functionals . Nav. Res. Log. Quart , 9 : 181 – 186 .
  • Ewing , G.M. 1977 . Sufficient Conditions for global minima of suitable convex functionals from variational and control theroy . SIAM Rev , 19 ( 2 ) : 202 – 220 .
  • Kaul , R.N. and Lyall , V. 1989 . A note on Nonlinear Fractional Vector maximization . Opsearch , 26 ( 2 ) : 108 – 121 .
  • Kaul , R.N. and Kaur , S. 1982 . Generalization of convex and related function . European Journal of Operational Research , 9 ( 2 ) : 369 – 377 .
  • Kaul , R.N. and Kaur , S. 1982 . Sufficient optimality conditions using generalized convex functions . Opsearch , 19 ( 4 ) : 212 – 224 .
  • Kaul , R.N. and Kaur , S. “ Generalized convex functions – properties ” . In optimality and duality , California : Standard University . Technical Report SOL 84-4
  • Mangasarian , O.L. 1969 . Nonlinear Programming , New York : McGraw Hill .
  • Suneja , S.K. and Gupta , S. 1993 . Duality in Nonlinear Programming involving semilocally convex and related functions . Optimization , 28 : 17 – 29 .

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