Main Article Content
Abstract
We establish a sufficient condition for the existence of minimizers of real-valued convex functions on closed subsets of finite dimensional spaces. We compare this condition with other related results.
Keywords
Nonlinear programming
Convexity
Recession cone.
Article Details
References
- GRAÑA DRUMMOND, L.M., MACULAN, N. and SVAITER, B.F. 2008. On the choice of parameters for the weighting method in vector optimization. Mathemat¬ical Programming, 111: 201-216.
- IUSEM, A.N. and SOSA, W. 2003. New existence results for equilibrium problems. Nonlinear Analysis, 52: 621-635.
- ROCKAFELLAR, R.T. 1970. Convex Analysis. Princeton University Press, New Jer¬sey.
References
GRAÑA DRUMMOND, L.M., MACULAN, N. and SVAITER, B.F. 2008. On the choice of parameters for the weighting method in vector optimization. Mathemat¬ical Programming, 111: 201-216.
IUSEM, A.N. and SOSA, W. 2003. New existence results for equilibrium problems. Nonlinear Analysis, 52: 621-635.
ROCKAFELLAR, R.T. 1970. Convex Analysis. Princeton University Press, New Jer¬sey.