Solving a generalized heron problem by means of convex analysis

American Mathematical Monthly

Volumn 119, Issue 2, 2012, Pages 87-99

  Mordukhovich, Boris S ^a   Nam, Nguyen Mau ^b   Salinas Jr , Juan ^b  

^a WAYNE STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS PAN AMERICAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84856045178     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.4169/amer.math.monthly.119.02.087     Document Type: Article

References (7)

1. D. Bertsekas, A. Nedic, A. Ozdaglar, Convex Analysis and Optimization, Athena Scientific, Belmont, MA, 2003.
2. J. M. Borwein, A. S. Lewis, Convex Analysis and Nonlinear Optimization: Theory and Examples, second edition, Springer, New York, 2006.
3. J.-B. Hiriart-Urruty, C. Lemaréchal, Fundamentals of Convex Analysis. Springer-Verlag, Berlin, 2001.
4. G. G. Magaril-Il'yaev, M. V. Tikhomirov, Convex Analysis: Theory and Applications, American Mathematical Society, Providence, RI, 2003.
5. H. Martini, K. J. Swanepoel, G. Weiss, The Fermat-Torricelli problem in normed planes and spaces, J. Optim. Theory Appl. 115 (2002) 283-314; available at http://dx.doi.org/10.1023/A: 1020884004689. (Pubitemid 39583288)
6. B. S. Mordukhovich, N. M. Nam, Applications of variational analysis to a generalized Fermat-Torricelli problem, J. Optim. Theory Appl. 148 (2011) 431-454; available at http://dx.doi.org/10.1007/ s10957-010-9761-7.
7. R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.