Regularity Conditions for Approximately Convex Functions on Abelian Topological Groups
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DOI: 10.1007/s00025-016-0544-9
Abstract: AbstractLet $${(G, +)}$$(G,+) be an Abelian topological group, D be a subset of G and let a function $${\alpha: D - D \rightarrow \mathbb{R}}$$α:D-D→R be locally bounded above at zero. A function $${f: D \rightarrow… read more here.
Keywords: abelian topological; approximately convex; conditions approximately; regularity conditions ... See more keywords
A characterization of the Pareto distribution based on the Fisher information for censored data under non-regularity conditions
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DOI: 10.1007/s00184-018-0697-5
Abstract: It is proved that within a proper class of distributions, the Pareto and the shifted exponential distribution are the only distributions with the property of no loss of information due to type-I censoring and random… read more here.
Keywords: regularity conditions; information; pareto distribution; characterization pareto ... See more keywords
Investigation of Controllability and Regularity Conditions for State Constrained Problems
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DOI: 10.1016/j.ifacol.2017.08.890
Abstract: Abstract A new method to prove non-degenerate optimality conditions in optimal control problems with state constraints of inequality type is proposed. This method involves the second-order derivative of the state constraint function and is based… read more here.
Keywords: state; controllability regularity; investigation controllability; regularity conditions ... See more keywords
New regularity conditions and Fenchel dualities for DC optimization problems involving composite functions
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DOI: 10.1080/02331934.2020.1737864
Abstract: We consider the following DC composite optimization problem (P): where and are proper convex functionals defined on locally convex Hausdorff topological vector spaces X and Y respectively, and h is a proper K-convex mapping from… read more here.
Keywords: new regularity; fenchel dualities; dualities optimization; conditions fenchel ... See more keywords