The DTC (Difference of Tangentially Convex Functions) Programming: Optimality Conditions. Mashkoorzadeh, F., Movahedian, N., & Nobakhtian, S. TOP, August, 2021.
The DTC (Difference of Tangentially Convex Functions) Programming: Optimality Conditions [link]Paper  doi  abstract   bibtex   
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.
@article{mashkoorzadeh_dtc_2021,
	title = {The {DTC} ({Difference} of {Tangentially} {Convex} {Functions}) {Programming}: {Optimality} {Conditions}},
	issn = {1134-5764, 1863-8279},
	shorttitle = {The {Dtc} (difference of {Tangentially} {Convex} {Functions}) {Programming}},
	url = {https://link.springer.com/10.1007/s11750-021-00615-z},
	doi = {10/gpx7k7},
	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.},
	language = {en},
	urldate = {2022-04-22},
	journal = {TOP},
	author = {Mashkoorzadeh, F. and Movahedian, N. and Nobakhtian, S.},
	month = aug,
	year = {2021},
	keywords = {/unread},
}

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