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

Author(s):

Ahmad Rezayi *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

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

Language:
English
Published:
Control and Optimization in Applied Mathematics, Volume:3 Issue: 2, Summer-Autumn 2018
Pages:
13 to 26
https://www.magiran.com/p2124000