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Original Articles

Farkas-type theorems for positively homogeneous semi-infinite systems

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Pages 421-431 | Received 11 Jun 2004, Accepted 14 Dec 2004, Published online: 09 Aug 2006

References

References

  • Rubinov , AM , Glover , BM and Jeyakumar , V . 1995 . A general approach to dual characterizations of solvability of inequality systems with applications . Journal of Convex Analysis , 2 : 309 – 344 .
  • Rubinov AM 2000 Abstract Convexity and Global Optimization Dordrecht Kluwer Academic Publishers
  • Kutateladze SS Rubinov AM 1971 Some classes of H-convex functions and sets Soviet Mathematics Doklady 12 665 668 translation from Doklady Akademii Nauk SSSR ,197, 1261–1263
  • Dolecki , S and Kurcyusz , S . 1978 . On Φ-convexity in extremal problems . SIAM Journal on Control and Optimization , 16 : 277 – 300 .
  • Rubinov , AM and Glover , BM . 1999 . Increasing convex-along-rays functions with applications to global optimization . Journal of Optimization Theory and Applications , 102 : 615 – 642 .
  • Rockafellar RT 1970 Convex Analysis New Jersey Princeton University Press
  • López , MA , Rubinov , AM and Vera de Serio , VN . 2005 . Stability of semi-infinite inequality systems involving min-type functions . Numerical Functional Analysis and Optimization , 26 : 81 – 112 .

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