On a fixed point theorem and its application in dynamic programming | Zendy

Ángel Almeida | Zendy; Antonio Francisco Roldán López de Hierro | Zendy; Kishin Sadarangani | Zendy

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On a fixed point theorem and its application in dynamic programming

Author(s) -

Ángel Almeida,

Antonio Francisco Roldán López de Hierro,

Kishin Sadarangani

Publication year - 2015

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm150720014a

Subject(s) - mathematics , uniqueness , fixed point theorem , fixed point , class (philosophy) , type (biology) , dynamic programming , pure mathematics , algebra over a field , mathematical optimization , mathematical analysis , computer science , ecology , artificial intelligence , biology

In this paper, we present some fixed point theorems for contractions of rational type. These theorems generalize some other results appearing in the literature. Moreover, we present some examples illustrating our results. Finally, we present an application to the study of the existence and uniqueness of solutions to a class of functional equations arising in dynamic programming.

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