On Duality for Minmax Generalized B-vex Programming Involving n-set Functions

General theory for optimizing n-set functions was first developed by Morris [23] who, for fractions of a single set, obtained results that are similar to the standard mathematical programming problem. Corley [16] developed an optimization theory for programming problems with n-set functions, established optimality conditions, and obtained Lagrangian duality. Zalmai [33] considered several practical applications for a class of nonlinear programming problems involving a single objective and differentiable n-set functions, and established several sufficient and duality results under generalized ρ-convexity conditions.

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