Approximate proper efficiency in vector optimization
Kequan Zhao, Guangya Chen, Xinmin Yang · Optimization · 2014
In recent years, some different kinds of approximate proper efficiency have been proposed by means of different tools including co-radiant set and improvement set for a vector optimization problem. In this paper, we first summarize some known concepts of approximate proper efficiency, relations among them and some corresponding linear scalarization theorems in the literature. Moreover, by means of nonlinear scalarization technique, we also give a characterization of -Benson proper efficient solutions without the assumption of monotonicity of norm. In the end, we also propose some valuable problems on approximate proper efficiency.