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Extensions

  • Stefan M. Stefanov
Part of the Applied Optimization book series (APOP, volume 53)

Abstract

If it is allowed for problem (C): \(i)\;{d'_j}({x_j}) \equiv 0\;or\;ii)\;{d'_j}({x_j}) \ne 0\) but \({d'_j}\left( {{a_j}} \right) = 0\,and\,/\,or\,{d'_j}\left( {{b_j}} \right) = 0\) for some j ∈ J in (5.2), then for such j’s we cannot construct the expressions \( - \frac{{{{c'}_j}({a_j})}}{{{{d'}_j}({a_j})}}\;and\;/\;or\; - \frac{{{{c'}_j}({b_j})}}{{{{d'}_j}({b_j})}},\), by means of which we define the sets \(J_a^\lambda (5.4),J_b^\lambda (5.5),J_c^\lambda (5.6)\). In case i) we have \({d_j}\left( {{x_j}} \right) = :{d_j} = const\) and x j ’s are not involved in (5.2) for such j’s.

Keywords

Computational Complexity Feasible Region Theoretical Aspect Extended Version Nondecreasing Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Stefan M. Stefanov
    • 1
  1. 1.Department of MathematicsSouth West UniversityBlagoevgradBulgaria

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