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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/706585 |
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| _version_ | 1832555895165288448 |
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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. |
| format | Article |
| id | doaj-art-f5c33ef3997e4978b5e18c24f5652811 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| 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 |