Robustness and limiting proper efficiency in set-valued optimization‎

In this paper, limiting proper minimals (LPMs) of nonconvex sets in a real ordered Banach space, defined in terms of the limiting (Mordukhovich) normal cone, are dealt with. The relationship between these points and robust minimals is investigated. Furthermore, LPMs in a set-valued optimization setting are investigated by means of variational analysis tools. In addition to getting appropriate optimality conditions, our main motivation is to track the connections between (limiting) proper minimality and other important solution concepts.

کلیدواژه ها:

Vector optimization ، Limiting proper minimal ، Robustness ، Set-valued optimization