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Optimization Methods and Software Volume 31, 2016 - Issue 3
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Regular Papers

Minimal time function with respect to a set of directions: basic properties and applications

Marius DureaFaculty of Mathematics, ‘Al. I. Cuza’ University, Bd. Carol I, nr. 11, 700506 – Iaşi, RomaniaCorrespondence[email protected]
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Marian PanţirucDepartment of Mathematics and Informatics, ‘Gh. Asachi’ Technical University, Bd. Carol I, nr. 11, 700506 – Iaşi, RomaniaView further author information
&
Radu StrugariuDepartment of Mathematics and Informatics, ‘Gh. Asachi’ Technical University, Bd. Carol I, nr. 11, 700506 – Iaşi, RomaniaView further author information
Pages 535-561 | Received 04 Mar 2015, Accepted 16 Oct 2015, Published online: 11 Dec 2015

Citations (14)

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Read on this site (4)

Monica Burlică, Marius Durea & Radu Strugariu. (2023) On directional subregularity of mappings. Optimization 72:1, pages 81-105.
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D. V. Cuong, B. S. Mordukhovich, N. M. Nam & M. Wells. (2022) Convex analysis of minimal time and signed minimal time functions. Optimization 71:4, pages 849-876.
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Elena-Andreea Florea & Diana Maxim. (2021) Directional openness for epigraphical mappings and optimality conditions for directional efficiency. Optimization 70:2, pages 321-344.
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Marius Durea & Radu Strugariu. (2017) Generalized penalization and maximization of vectorial nonsmooth functions. Optimization 66:6, pages 903-915.
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Articles from other publishers (10)

Vo Si Trong Long. (2023) Directional variational principles and applications to the existence study in optimization. Journal of Industrial and Management Optimization 0:0, pages 0-0.
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Vo Si Trong Long. (2022) An Invariant-Point Theorem in Banach Space with Applications to Nonconvex Optimization. Journal of Optimization Theory and Applications 194:2, pages 440-464.
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Teodor Chelmuş. (2022) Exact Penalization and Optimality Conditions for Approximate Directional Minima. Taiwanese Journal of Mathematics 26:1.
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Vo Si Trong Long. (2020) A new notion of error bounds: necessary and sufficient conditions. Optimization Letters 15:1, pages 171-188.
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Radek Cibulka, Marius Durea, Marian Panţiruc & Radu Strugariu. (2019) On the Stability of the Directional Regularity. Set-Valued and Variational Analysis 28:2, pages 209-237.
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Luong V. Nguyen & Xiaolong Qin. (2020) The minimal time function associated with a collection of sets. ESAIM: Control, Optimisation and Calculus of Variations 26, pages 93.
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Teodor Chelmuş, Marius Durea & Elena-Andreea Florea. (2019) Directional Pareto Efficiency: Concepts and Optimality Conditions. Journal of Optimization Theory and Applications 182:1, pages 336-365.
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Marius Durea, Radu Strugariu & Christiane Tammer. (2017) On Some Methods to Derive Necessary and Sufficient Optimality Conditions in Vector Optimization. Journal of Optimization Theory and Applications 175:3, pages 738-763.
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Marius Durea & Radu Strugariu. (2017) Vectorial penalization for generalized functional constrained problems. Journal of Global Optimization 68:4, pages 899-923.
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Marius Durea, Marian Panţiruc & Radu Strugariu. (2017) A New Type of Directional Regularity for Mappings and Applications to Optimization. SIAM Journal on Optimization 27:2, pages 1204-1229.
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