Existence and uniqueness of solutions for certain functional equations and system of functional equations arising in dynamic programming-Reference-Cited by-同舟云学术

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

Published:2016-01-01 Issue:1 Volume:24 Page:3-28
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Deepmala ¹,Agarwal Ravi P.²

Affiliation:

1. SQC & OR Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata , 700 108, India

2. Department of Mathematics, Texas A&M University-Kingsville, Kingsville , TX 78363, USA

Abstract

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.

Publisher

Walter de Gruyter GmbH

Reference18 articles.

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3. [3] P. C. Bhakta and S. Mitra, Some existence theorems for functional equations arising in dynamic programming, J. Math. Anal. Appl. 98, 348-362 (1984).10.1016/0022-247X(84)90254-3

4. [4] P. C. Bhakta and S. R. Choudhury, Some existence theorems for functional equations arising in dynamic programming II, J. Math. Anal. Appl. 131, 217-231 (1988).

5. [5] D. W. Boyd and J. S. W. Wong, On nonlinear contractions, Proc. Amer. Math. Soc. 20, 458-464 (1969).10.1090/S0002-9939-1969-0239559-9

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