# OPTIMALITY AND DUALITY FOR GENERALIZED NONDIFFERENTIABLE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY

• Kim, Moon-Hee (Department of Multimedia Engineering, Tongmyong University) ;
• Kim, Gwi-Soo (Department of Applied Mathematics, Pukyong National University)
• Received : 2010.04.23
• Accepted : 2010.06.23
• Published : 2010.09.30

#### Abstract

Sufficient optimality conditions for a class of generalized non-differentiable fractional optimization programming problems are established. Moreover, we prove the weak and strong duality theorems under (V, $\rho$)-invexity assumption.

#### Acknowledgement

Supported by : Korea Science and Engineering Foundation (KOSEF)

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