<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper deals with the existence, uniqueness and iterative approximations of solutions for the functional equations and system of functional equations arising in dynamic programming of multistage decision making processes in Banach spaces and complete metric space, respectively. The results presented in this paper unify and generalize many known results in the literature. Some examples which dwell upon the importance of our results are also illustrated.</p></abstract>

This paper deals with the existence, uniqueness and iterative approximations of solutions for the functional equations and system of functional equations arising in dynamic programming of multistage decision making processes in Banach spaces and complete metric space, respectively. The results presented in this paper unify and generalize many known results in the literature. Some examples which dwell upon the importance of our results are also illustrated.

Existence and uniqueness of solutions for certain functional equations and system of functional equations arising in dynamic programming

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper deals with the existence, uniqueness and iterative approximations of solutions for the functional equations and system of functional equations...

Existence and uniqueness of solutions for certain functional equations and system of functional equations arising in dynamic programming

Published Online: Sep 21, 2017

Page range: 3 - 28

Received: Jul 01, 2015

Accepted: Sep 01, 2015

DOI: https://doi.org/10.1515/auom-2016-0006

Keywords
Dynamic programming, Functional equations, Fixed point

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Existence and uniqueness of solutions for certain functional equations and system of functional equations arising in dynamic programming

Published Online: Sep 21, 2017

Page range: 3 - 28

Received: Jul 01, 2015

Accepted: Sep 01, 2015

DOI: https://doi.org/10.1515/auom-2016-0006

KeywordsDynamic programming, Functional equations, Fixed point

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Dynamic programming, Functional equations, Fixed point