Journal of applied mathematics & informatics
- Volume 18 Issue 1_2
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- Pages.361-376
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
ON FRACTIONAL PROGRAMMING CONTAINING SUPPORT FUNCTIONS
- HUSAIN I. (Department of Mathematics, National Institute of Technology Srinagar) ;
- JABEEN Z. (Department of Mathematics, National Institute of Technology Srinagar)
- Published : 2005.03.01
Abstract
Optimality conditions are derived for a nonlinear fractional program in which a support function appears in the numerator and denominator of the objective function as well as in each constraint function. As an application of these optimality conditions, a dual to this program is formulated and various duality results are established under generalized convexity. Several known results are deduced as special cases.
Keywords
- Optimality conditions;
- nonlinear fractional programming;
- support function;
- duality;
- convexity;
- generalized convexity