Generalized Affine Functions and Generalized Differentials
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DOI: 10.1007/s10957-012-0051-4
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- J.P. Penot, 2003. "Characterization of Solution Sets of Quasiconvex Programs," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 627-636, June.
- K. O. Kortanek & J. P. Evans, 1967. "Pseudo-Concave Programming and Lagrange Regularity," Operations Research, INFORMS, vol. 15(5), pages 882-891, October.
- D. Aussel & N. Hadjisavvas, 2004. "On Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 121(2), pages 445-450, May.
- M. Bianchi & S. Schaible, 2000. "An Extension of Pseudolinear Functions and Variational Inequality Problems," Journal of Optimization Theory and Applications, Springer, vol. 104(1), pages 59-71, January.
- J.P. Penot, 2003. "Lagrangian Approach to Quasiconvex Programing," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 637-647, June.
- Komlosi, S., 1993. "First and second order characterizations of pseudolinear functions," European Journal of Operational Research, Elsevier, vol. 67(2), pages 278-286, June.
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Keywords
Colinvex; Colinfine; Generalized differential; Optimization problem; Protoconvex function; Pseudoconvex function; Pseudolinear function; Quasiconvex function;All these keywords.
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