The DTC (difference of tangentially convex functions) programming: optimality conditions

We focus on optimality conditions for an important class of nonconvex and nonsmooth optimization problems, where the objective and constraint functions are presented as a difference of two tangentially convex functions. The main contribution of this paper is to clarify several kinds of stationary so...

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Vydáno v:TOP Ročník 30; číslo 2; s. 270 - 295
Hlavní autoři: Mashkoorzadeh, F., Movahedian, N., Nobakhtian, S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022
Springer Nature B.V
Témata:
Business and Management
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Finance
Industrial and Production Engineering
Insurance
Management
Operations Research/Decision Theory
Optimization
Original Paper
Statistics for Business
Optimality conditions
Nonconvex optimization
90C30
49J52
Nonsmooth optimization
90C26
Tangential subdifferential
Difference of tangentially convex functions
ISSN:1134-5764, 1863-8279
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Abstract We focus on optimality conditions for an important class of nonconvex and nonsmooth optimization problems, where the objective and constraint functions are presented as a difference of two tangentially convex functions. The main contribution of this paper is to clarify several kinds of stationary solutions and their relations, and establish local optimality conditions with a nonconvex feasible set. Finally, several examples are given to illustrate the effectiveness of the obtained results.
AbstractList We focus on optimality conditions for an important class of nonconvex and nonsmooth optimization problems, where the objective and constraint functions are presented as a difference of two tangentially convex functions. The main contribution of this paper is to clarify several kinds of stationary solutions and their relations, and establish local optimality conditions with a nonconvex feasible set. Finally, several examples are given to illustrate the effectiveness of the obtained results.
Author Nobakhtian, S.
Movahedian, N.
Mashkoorzadeh, F.
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Issue 2
Keywords Optimality conditions
Nonconvex optimization
90C30
49J52
Nonsmooth optimization
90C26
Tangential subdifferential
Difference of tangentially convex functions
Language English
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Snippet We focus on optimality conditions for an important class of nonconvex and nonsmooth optimization problems, where the objective and constraint functions are...
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Insurance
Management
Operations Research/Decision Theory
Optimization
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Title The DTC (difference of tangentially convex functions) programming: optimality conditions
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