On ratio invexity in mathematical programming

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Abstract

The nonlinear fractional programming problem is considered. The functions involved in the objective function and constraints are assumed to be invex and differentiable. It is shown that the ratio of invex functions is invex. Sufficient optimality and duality theorems are presented for an invex fractional programming problem. © 1997 Academic Press.

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Khan, Z. A., & Hanson, M. A. (1997). On ratio invexity in mathematical programming. Journal of Mathematical Analysis and Applications, 205(2), 330–336. https://doi.org/10.1006/jmaa.1997.5180

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