TY - JOUR
T1 - Necessary and Sufficient Optimality Conditions for Non-regular Problems
AU - Vivanco-Orellana, V.
AU - Osuna-Gómez, R.
AU - Rojas-Medar, M. A.
N1 - Publisher Copyright:
© 2023 Taylor & Francis Group, LLC.
PY - 2023
Y1 - 2023
N2 - We derive new necessary and sufficient optimality conditions for optimization problems with multi-equality and inequality constraints through the Dubovitskii-Milyutin formalism, characterizing the feasible and tangent directions cones in a neighborhood of a non-regular point. We also establish conditions of 2-regularity under which necessary optimality conditions are non-degenerate. These conditions apply when the phenomenon of non-regularity (or abnormality) take place. In addition examples that illustrate our results are presented.
AB - We derive new necessary and sufficient optimality conditions for optimization problems with multi-equality and inequality constraints through the Dubovitskii-Milyutin formalism, characterizing the feasible and tangent directions cones in a neighborhood of a non-regular point. We also establish conditions of 2-regularity under which necessary optimality conditions are non-degenerate. These conditions apply when the phenomenon of non-regularity (or abnormality) take place. In addition examples that illustrate our results are presented.
KW - Dubovitskii-Milyutin formalism
KW - necessary and sufficient optimality conditions
KW - non-regular optimization problem
KW - tangent and feasible cones of second-order
UR - https://www.scopus.com/pages/publications/85166767033
U2 - 10.1080/01630563.2023.2235614
DO - 10.1080/01630563.2023.2235614
M3 - Article
AN - SCOPUS:85166767033
SN - 0163-0563
VL - 44
SP - 1228
EP - 1250
JO - Numerical Functional Analysis and Optimization
JF - Numerical Functional Analysis and Optimization
IS - 12
ER -