@article{81743fa526cd410da5b5b3bea43ea3ba,
title = "Variational analysis of circular cone programs",
abstract = "This paper conducts variational analysis of circular programs, which form a new class of optimization problems in nonsymmetric conic programming, important for optimization theory and its applications. First, we derive explicit formulas in terms of the initial problem data to calculate various generalized derivatives/co-derivatives of the projection operator associated with the circular cone. Then we apply generalized differentiation and other tools of variational analysis to establish complete characterizations of full and tilt stability of locally optimal solutions to parameterized circular programs.",
keywords = "circular cone, conic programming, full and tilt stability, generalized differentiation, optimization, projection operator, second-order cone, variational analysis",
author = "Jinchuan Zhou and Chen, {Jein Shah} and Mordukhovich, {Boris S.}",
note = "Funding Information: Research of J. Zhou was partly supported by the National Natural Science Foundation of China [grant number 11101248], [grant number 11271233]; and Shandong Province Natural Science Foundation [grant number ZR2010AQ026], [grant number ZR2012AM016]. Research of J.-S. Chen was supported by the Ministry of Science and Technology, Taiwan. Research of B.S. Mordukhovich was partly supported by the USA National Science Foundation [grant number DMS-1007132]. Publisher Copyright: {\textcopyright} 2014 Taylor & Francis.",
year = "2015",
month = jan,
day = "2",
doi = "10.1080/02331934.2014.951043",
language = "English",
volume = "64",
pages = "113--147",
journal = "Optimization",
issn = "0233-1934",
publisher = "Taylor and Francis Ltd.",
number = "1",
}