Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming

The paper deals with the existence, uniqueness, and iterative approximations of solutions for the functional equations arising in dynamic programming of multistage decision making processes in Banach spaces BC(S) and B(S) and complete metric space BB(S), respectively. Our main results extend, improv...

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Main Author: Deepmala
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/706585
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author Deepmala
author_facet Deepmala
author_sort Deepmala
collection DOAJ
description The paper deals with the existence, uniqueness, and iterative approximations of solutions for the functional equations arising in dynamic programming of multistage decision making processes in Banach spaces BC(S) and B(S) and complete metric space BB(S), respectively. Our main results extend, improve, and generalize the results due to several authors. Some examples are also given to demonstrate the advantage of our results over existing one in the literature.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2014-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-f5c33ef3997e4978b5e18c24f56528112025-02-03T05:47:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/706585706585Existence Theorems for Solvability of a Functional Equation Arising in Dynamic ProgrammingDeepmala0School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.) 492010, IndiaThe paper deals with the existence, uniqueness, and iterative approximations of solutions for the functional equations arising in dynamic programming of multistage decision making processes in Banach spaces BC(S) and B(S) and complete metric space BB(S), respectively. Our main results extend, improve, and generalize the results due to several authors. Some examples are also given to demonstrate the advantage of our results over existing one in the literature.http://dx.doi.org/10.1155/2014/706585
spellingShingle Deepmala
Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming
International Journal of Mathematics and Mathematical Sciences
title Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming
title_full Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming
title_fullStr Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming
title_full_unstemmed Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming
title_short Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming
title_sort existence theorems for solvability of a functional equation arising in dynamic programming
url http://dx.doi.org/10.1155/2014/706585
work_keys_str_mv AT deepmala existencetheoremsforsolvabilityofafunctionalequationarisingindynamicprogramming