TY - JOUR
T1 - Optimality conditions for generalized differentiable interval-valued functions
AU - Osuna-Gómez, R.
AU - Chalco-Cano, Y.
AU - Hernández-Jiménez, B.
AU - Ruiz-Garzón, G.
N1 - Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/11/10
Y1 - 2015/11/10
N2 - Abstract In this paper we study the optimal solutions set for a generalized differentiable interval-valued function. Necessary and sufficient optimality conditions are established for gH-differentiable functions. Convexity assumptions that are necessary or required to ensure the characterization of the optimal solutions are weaker or less strict than those presented in previous works. These convexity assumptions are the weakest to characterize the optimal solutions set. Known results for classical non interval-valued optimization are particular cases of the ones proved here.
AB - Abstract In this paper we study the optimal solutions set for a generalized differentiable interval-valued function. Necessary and sufficient optimality conditions are established for gH-differentiable functions. Convexity assumptions that are necessary or required to ensure the characterization of the optimal solutions are weaker or less strict than those presented in previous works. These convexity assumptions are the weakest to characterize the optimal solutions set. Known results for classical non interval-valued optimization are particular cases of the ones proved here.
KW - Generalized Hukuhara differentiability
KW - Interval-valued function
KW - Optimality condition
UR - https://www.scopus.com/pages/publications/84938078205
U2 - 10.1016/j.ins.2015.05.039
DO - 10.1016/j.ins.2015.05.039
M3 - Article
AN - SCOPUS:84938078205
SN - 0020-0255
VL - 321
SP - 136
EP - 146
JO - Information Sciences
JF - Information Sciences
M1 - 11593
ER -