Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions
نویسندگان
چکیده
منابع مشابه
Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn–Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for the Kuhn–Tucker type necessary optimality conditions involving Mordukhovich coderivatives are intr...
متن کاملConstraint Qualifications and KKT Conditions for Bilevel Programming Problems
In this paper we consider the bilevel programming problem (BLPP), which is a sequence of two optimization problems where the constraint region of the upper-level problem is determined implicitly by the solution set to the lower-level problem. We extend well-known constraint qualifications for nonlinear programming problems such as the Abadie constraint qualification, the Kuhn-Tucker constraint ...
متن کاملNecessary optimality conditions for constrained optimization problems under relaxed constraint qualifications
We derive firstand second-order necessary optimality conditions for set-constrained optimization problems under the constraint qualificationtype conditions significantly weaker than Robinson’s constraint qualification. Our development relies on the so-called 2-regularity concept, and unifies and extends the previous studies based on this concept. Specifically, in our setting constraints are giv...
متن کاملSecond- and First-Order Optimality Conditions in Vector Optimization
In this paper we obtain secondand first-order optimality conditions of Kuhn-Tucker type and Fritz John one for weak efficiency in the vector problem with inequality constraints. In the necessary conditions we suppose that the objective function and the active constraints are continuously differentiable. We introduce notions of KTSP-invex problem and second-order KTSP-invex one. We obtain that t...
متن کاملStrict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization
Sequential optimality conditions for constrained optimization are necessarily satisfied by local minimizers, independently of the fulfillment of constraint qualifications. These conditions support the employment of different stopping criteria for practical optimization algorithms. On the other hand, when an appropriate strict constraint qualification associated with some sequential optimality c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Positivity
سال: 2019
ISSN: 1385-1292,1572-9281
DOI: 10.1007/s11117-019-00679-z