Summary
We study topical functions in a class of ordered Banach spaces and show that these functions are abstract convex with respect to a certain set of elementary functions and obtain an explicit formula for their subdifferential. We give characterizations of the Fenchel-Moreau conjugate and the conjugate of type Lau of topical functions. We also present necessary and sufficient conditions for plus-weak Pareto points of a closed downward set in terms of separation from outside points.
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Mohebi, H. (2005). Topical Functions and their Properties in a Class of Ordered Banach Spaces. In: Jeyakumar, V., Rubinov, A. (eds) Continuous Optimization. Applied Optimization, vol 99. Springer, Boston, MA. https://doi.org/10.1007/0-387-26771-9_12
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DOI: https://doi.org/10.1007/0-387-26771-9_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-26769-2
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