Abstract
In this paper we study the supremal representations of positively homogeneous of degree one and symmetric positively homogeneous of degree two functions, defined on a reflexive Banach space.
This research has been supported by the Australian Research Council Grant A69701407.
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References
M. M. Day, Normed linear spaces ( third edition ). Springer-Verlag, Berlin- Heidelberg, 1973.
V. F. Demyanov and A. M. Rubinov, Quasidifferential Calculus. Optimization Software, New York, 1986.
A. Eberhard, M. Nyblom and D. Ralph, Applying generalized convexity notions to jets. In Generalized Convexity, Generalized Monotonicity: Recent Results, J.P. Crouzeix et al eds., Kluwer Academic Press, 111–157, 1998.
A. Eberhard and D. Ralph, Support functions without subadditivity and the symmetric rank one representer. Research Report, 26, RMIT, December 1997.
S. S. Kutateladze and A. M. Rubinov, Minkowski duality and its applications. Russian Mathematical Surveys, 27, 137–192, 1972
S. S. Kutateladze and A. M. Rubinov, Minkowski Duality and its Applications. Nauka, Novosibirsk, 1976. (In Russian)
D. Pallaschke and S. Rolewicz, Foundations of Mathematical Optimization. Kluwer Academic Publisher, 1997.
A. M. Rubinov, Upper envelopes of sets of symmetric quadratic forms in a Hilbert space. In Proceedings of the First International Conference on Problems of Mathematical Economics, Nonsmooth Analysis and Informatics, Baku, 193–197, 1997.
I. Singer, Abstract Convex Analysis. Wiley and Sons, New York, 1997.
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Rubinov, A.M. (1999). Supremal Generators of Spaces of Homogeneous Functions. In: Progress in Optimization. Applied Optimization, vol 30. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3285-5_5
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DOI: https://doi.org/10.1007/978-1-4613-3285-5_5
Publisher Name: Springer, Boston, MA
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