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

Deepmala; Ravi P. Agarwal

doi:10.1515/auom-2016-0006

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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

Volume 24 (2016): Issue 1 (January 2016)

By: Deepmala and Ravi P. Agarwal

Open Access

|Sep 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2016-0006 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 3 - 28

Submitted on: Jul 1, 2015

Accepted on: Sep 1, 2015

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Dynamic programming,

Functional equations,

Fixed point

Related subjects:

Mathematics,

General mathematics

© 2017 Deepmala, Ravi P. Agarwal, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 24 (2016): Issue 1 (January 2016)