An unbounded Berge's minimum theorem with applications to discounted Markov decision processes
Raúl Montes-de-Oca, Enrique Lemus-Rodríguez (2012)
Kybernetika
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This paper deals with a certain class of unbounded optimization problems. The optimization problems taken into account depend on a parameter. Firstly, there are established conditions which permit to guarantee the continuity with respect to the parameter of the minimum of the optimization problems under consideration, and the upper semicontinuity of the multifunction which applies each parameter into its set of minimizers. Besides, with the additional condition of uniqueness of the minimizer,...