Optimality Conditions of Interval-Valued Optimization Problems by Using Subdifferentials

Abstract

In this study, interval-valued optimization problems (shortly, interval optimization) areconsidered. In order to obtain optimality conditions of interval optimization, subdifferential andweak subdifferential are defined. After some properties including an existence condition of thesubdifferentials are studied, optimality conditions including the necessary and sufficientconditions for interval optimization are obtained.