ISSN:
1573-2878
Keywords:
Multiobjective fractional programming
;
Fritz John and Kuhn-Tucker optimality conditions
;
duality
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Fritz John and Kuhn-Tucker necessary and sufficient conditions for a Pareto optimum of a subdifferentiable multiobjective fractional programming problem are derived without recourse to an equivalent convex program or parametric transformation. A dual problem is introduced and, under convexity assumptions, duality theorems are proved. Furthermore, a Lagrange multiplier theorem is established, a vector-valued ratio-type Lagrangian is introduced, and vector-valued saddle-point results are presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00941889
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