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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Bibliographic Details
Published in:TOP Vol. 30; no. 2; pp. 270 - 295
Main Authors: Mashkoorzadeh, F., Movahedian, N., Nobakhtian, S.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1134-5764
1863-8279
DOI:10.1007/s11750-021-00615-z