A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming

For a nonsmooth multiobjective mathematical programming problem governed by infinitely many constraints‎, ‎we define a new gap function that generalizes the definitions of this concept in other articles‎. ‎Then‎, ‎we characterize the efficient‎, ‎weakly efficient‎, ‎and properly efficient solutions of the problem utilizing this new gap function‎. ‎Our results are based on (\Phi,\rho)-invexity‎, ‎defined by Clarke subdifferential.

کلیدواژه ها:

‎Semi-Infinite Programming‎ ، ‎Multiobjective optimization‎ ، ‎Constraint qualification‎ ، ‎Optimality conditions‎ ، ‎Gap function