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- W2393336209 abstract "In this paper we consider a class of functional equations arising in dynamic programming.The existence,uniqueness,iterative approximation and some properties of the solutions for the functional equations are discussed.During the process of the study,we firstly define a mapping on a closed bounded and convex subset of Banach space,and then prove that this mapping is a non-expansive mapping into itself.Furthermore,we show that every convergent sequence on this subset is a Cauchy sequence.Finally,by using non-expansive mapping,fixed point theorem and the completeness of Banach space,the existence of the solution is obtained.The results presented in this paper not only generalize the results in Liu,but also unify the previous results due to Bellman,Bhakta,Mitra and others." @default.
- W2393336209 created "2016-06-24" @default.
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- W2393336209 date "2012-01-01" @default.
- W2393336209 modified "2023-09-28" @default.
- W2393336209 title "Existence and properties of solutions for a class of functional equations" @default.
- W2393336209 hasPublicationYear "2012" @default.
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