Add to ORKGhis paper studies properties of solutions for a functional equation arising in dynamic programming of multistage decision processes. Using the Banach fixed point theorem and the Mann iterative methods, we prove the existence and uniqueness of solutions and convergence of sequences generated by the Mann iterative methods for the functional equation in the Banach spaces $BC(S)$ and $B(S)$ and the complete metric space $BB(S)$, and discuss behaviors of solutions for the functional equation in the complete metric space $BB(S)$. Four examples illustrating the results presented in this paper are also provided
Copyright c © 2015 Marhrani and Chaira. This is an open access article distributed under the Creativ...
AbstractProblems in the Calculus of Variations can be viewed as multistage decision problems of a co...
Using fixed point methods, we prove the Hyers-Ulam-Rassias stability of a mixed type functional equa...
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AbstractThis paper deals with the existence, uniqueness and iterative approximation of solutions for...
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By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for so...
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We establish some elementary results on solutions to the Bellman equation without introducing any to...
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In this dissertation the primary concern is with showing the existence of a solution to the initial-...
Copyright c © 2015 Marhrani and Chaira. This is an open access article distributed under the Creativ...
AbstractProblems in the Calculus of Variations can be viewed as multistage decision problems of a co...
Using fixed point methods, we prove the Hyers-Ulam-Rassias stability of a mixed type functional equa...
AbstractIn this paper we study the existence, uniqueness, and iterative approximation of solutions f...
AbstractThe purpose of this paper is to study solvability of two classes of functional equations and...
AbstractThis paper deals with the existence, uniqueness and iterative approximation of solutions for...
summary:A problem of strategy by consecutive choices in Banach space is considered. The best result ...
By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for so...
Some common fixed point theorems for compatible mappings are shown As an application, the existence ...
This article demonstrates the graphical existence of a single fixed point while imposing the contrac...
In this paper we develop a general framework to analyze stochastic dynamic optimization problems in ...
In this paper, we obtain a Suzuki type fixed point theorem for a generalized multivalued mapping on ...
We establish some elementary results on solutions to the Bellman equation without introducing any to...
The aim of this paper is to introduce some generalized contractions and prove certain new fixed poin...
In this dissertation the primary concern is with showing the existence of a solution to the initial-...
Copyright c © 2015 Marhrani and Chaira. This is an open access article distributed under the Creativ...
AbstractProblems in the Calculus of Variations can be viewed as multistage decision problems of a co...
Using fixed point methods, we prove the Hyers-Ulam-Rassias stability of a mixed type functional equa...