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

Authors

Deepmala Agarwal, Indian Statistical Institute, Kolkata
Ravi P. Agarwal, Texas A&M University-Kingsville

Article Type

Research Article

Publication Title

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

Abstract

This paper deals with the existence, uniqueness and iterative ap- proximations of solutions for the functional equations and system of functional equations arising in dynamic programming of multistage de- cision 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.

First Page

3

Last Page

28

DOI

10.1515/auom-2016-0006

Publication Date

1-1-2016

Comments

Open Access; Gold Open Access

Recommended Citation

Agarwal, Deepmala and Agarwal, Ravi P., "Existence and uniqueness of solutions for certain functional equations and system of functional equations arising in dynamic programming" (2016). Journal Articles. 4202.
https://digitalcommons.isical.ac.in/journal-articles/4202