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Generalized convex duality for multiobjective fractional programs. (English) Zbl 0815.90128

Summary: Some duality theorems for multiobjective programs are established using the concept of efficiency coupled with some generalized convex assumptions on the objective and constraint functions. The main results of the present work can be thought of as extensions and unifying of the results of Mukherjee.

MSC:

90C32 Fractional programming
26B25 Convexity of real functions of several variables, generalizations
90C29 Multi-objective and goal programming