The DTC (difference of tangentially convex functions) programming: optimality conditions
Autor: | F. Mashkoorzadeh, S. Nobakhtian, Nooshin Movahedian |
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Rok vydání: | 2021 |
Předmět: |
Statistics and Probability
Mathematical optimization Class (set theory) Information Systems and Management Optimization problem Computer science Modeling and Simulation Constraint functions Feasible region Discrete Mathematics and Combinatorics Management Science and Operations Research Convex function Focus (optics) |
Zdroj: | TOP. 30:270-295 |
ISSN: | 1863-8279 1134-5764 |
DOI: | 10.1007/s11750-021-00615-z |
Popis: | 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. |
Databáze: | OpenAIRE |
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