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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 53, 2004 - Issue 2
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Original Articles

Monotonic Analysis over Cones: I

J. Dutta Department of Mathematics, Indian Institute of Technology, Kanpur, Kanpur – 208 016, Uttar Pradesh, India
,
J.E. Martínez-Legaz CODE and Departament d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
&
A.M. Rubinov CIAO and School of Information Technology and Mathematical Sciences, University of Ballarat, 3353 Ballarat, Victoria, Australia
Pages 129-146 | Received 20 Jan 2004, Published online: 01 Sep 2006

Citations (13)

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Read on this site (6)

Valentin V. Gorokhovik. (2023) Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions. Optimization 72:1, pages 241-261.
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Ewa Bednarczuk & The Hung Tran. (2023) Duality for composite optimization problem within the framework of abstract convexity. Optimization 72:1, pages 37-80.
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Atefeh Mohebi & Hossein Mohebi. (2016) Global optimization of the difference of affine increasing and positively homogeneous functions. Optimization 65:12, pages 2081-2093.
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H. Mohebi & H. Sadeghi. (2009) Monotonic analysis over ordered topological vector spaces: II. Optimization 58:2, pages 241-249.
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H. Mohebi & H. Sadeghi. (2007) Monotonic analysis over ordered topological vector spaces: I. Optimization 56:3, pages 305-321.
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J. Dutta, J.E. Martínez-Legaz & A.M. Rubinov. (2004) Monotonic analysis over cones: II. Optimization 53:5-6, pages 529-547.
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Articles from other publishers (7)

Cheikh Toure, Armand Gissler, Anne Auger & Nikolaus Hansen. (2021) Scaling-invariant Functions versus Positively Homogeneous Functions. Journal of Optimization Theory and Applications 191:1, pages 363-383.
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A. R. Doagooei. (2014) Minimum Type Functions, Plus-Cogauges, and Applications. Journal of Optimization Theory and Applications 164:2, pages 551-564.
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Ivan Singer & Viorel Nitica. (2014) Extended-valued topical and anti-topical functions on semimodules. Linear Algebra and its Applications 446, pages 25-70.
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Ivan Singer & Viorel Nitica. (2012) Topical functions on semimodules and generalizations. Linear Algebra and its Applications 437:10, pages 2471-2488.
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Marianne Akian, Stéphane Gaubert, Viorel Niţică & Ivan Singer. (2011) Best approximation in max-plus semimodules. Linear Algebra and its Applications 435:12, pages 3261-3296.
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Hossein Mohebi. 2009. Encyclopedia of Optimization. Encyclopedia of Optimization 1576 1586 .
Hossein Mohebi. 2009. Encyclopedia of Optimization. Encyclopedia of Optimization 1571 1576 .

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