RT journal article
T1 Second-order optimality conditions for interval-valued functions
A1 Ruiz Garzón, Gabriel
A1 Osuna Gómez, Rafaela
A1 Rufián Lizana, Antonio
A1 Beato-Moreno, Antonio
A2 Estadística e Investigación Operativa
K1 Optimization problem
K1 Generalized convexity
K1 Second-order optimality
AB This work is included in the search of optimality conditions for solutions to the scalarinterval optimization problem, both constrained and unconstrained, by means ofsecond-order optimality conditions. As it is known, these conditions allow us to rejectsome candidates to minima that arise from the first-order conditions. We will definenew concepts such as second-order gH-derivative for interval-valued functions,2-critical points, and 2-KKT-critical points. We obtain and present new types ofinterval-valued functions, such as 2-pseudoinvex, characterized by the property thatall their second-order stationary points are global minima. We extend the optimalitycriteria to the semi-infinite programming problem and obtain duality theorems.These results represent an improvement in the treatment of optimization problemswith interval-valued functions.
PB Springer
SN 1029-242X
YR 2023
FD 2023
LK http://hdl.handle.net/10498/29701
UL http://hdl.handle.net/10498/29701
LA eng
NO Funding for open access publishing: Universidad de Cádiz/CBUA. The research has been supported by MCIN throughgrant MCIN/AEI/PID2021-123051NB-I00.
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026