Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization
Qilin Wang, Shengji Li, Kok Lay Teo · Numerical Algebra Control and Optimization · 2011
In this paper, some properties are established for second-order adjacent derivatives of set-valued maps. Upper and lower semicontinuity and closedness are obtained for second-order adjacent derivatives of weak perturbation maps in vector optimization problems. Several examples are given for illustrating our results.