Solutions to two functional equations arising in dynamic programming

  • Authors:

  • Zeqing Liu;Yuguang Xu;Jeong Sheok Ume;Shin Min Kang

  • Affiliations:

  • Department of Mathematics, Liaoning Normal University, Dalian, Liaoning, PR China;Department of Mathematics, Kunming Teacher's College, Kunming, Yunnan, PR China;Department of Applied Mathematics, Changwon National University, Changwon, Korea;Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Chinju, Korea

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2006

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Abstract

This paper deals with the existence, uniqueness and iterative approximation of solutions for two functional equations arising in dynamic programming of multistage decision processes. The results presented in this paper extend, improve and unify the results due to Bellman, Bhakta and Choudhury, Bhakta and Mitra, Liu, Liu and Ume and others.