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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 53, 2004 - Issue 4
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Original Articles

On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups

Ivan Singer †View further author information
Pages 393-428 | Received 18 Oct 2003, Accepted 18 Jun 2004, Published online: 22 Aug 2006

Citations (8)

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Read on this site (2)

H. Barsam & H. Mohebi. (2016) Characterizations of Upward and Downward Sets in Semimodules by Using Topical Functions. Numerical Functional Analysis and Optimization 37:11, pages 1354-1377.
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V. Nitica & I. Singer. (2007) Max-plus convex sets and max-plus semispaces. II. Optimization 56:3, pages 293-303.
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Articles from other publishers (6)

H. Shahriaripour & H. Mohebi. (2020) Global Optimization of the Difference of two Increasing Plus-Convex-Along-Rays Functions. Acta Mathematica Scientia 40:6, pages 1849-1873.
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Hossein Mohebi & Hasan Barsam. (2018) Some results on abstract convexity of functions. Mathematica Slovaca 68:5, pages 1001-1008.
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Hassan Bakhtiari & Hossein Mohebi. (2017) Characterizing global maximizers of the difference of sub-topical functions. Journal of Mathematical Analysis and Applications 450:1, pages 63-76.
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Sara Hassani & Hossein Mohebi. (2017) Characterizations of minimal elements of topical functions on semimodules with applications. Linear Algebra and its Applications 520, pages 104-124.
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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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