Common fixed points for a class of multi-valued mappings and application to functional equations arising in dynamic programming

A. Aghajani; E. Pourhadi

doi:10.26637/mjm201/010

Abstract

In this paper, we give an existence theorem for hybrid generalized multi-valued α-contractive type mappings which extends, improves and unifies the corresponding main result of Sintunavart and Kumam [W. Sintunavart, P. Kumam, Common fixed point theorem for hybrid generalized multi-valued contraction mappings, Appl. Math. Lett. 25 (2012), 52-57] and some main results in the literature. As an application, we give some existence and uniqueness results for solutions of a certain class of functional equations arising in dynamic programming to illustrate the efficiency and usefulness of our main result.

Keywords:

Common fixed point, Multi-valued contraction, Dynamic programming, Functional equations

Mathematics Subject Classification:

47H10, 54C60, 90C39

Authors Imprint References Funding Related Articles Downloads

A. Aghajani School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
E. Pourhadi School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.

Pages: 82-90
Date Published: 01-01-2014
Vol. 2 No. 01 (2014): Malaya Journal of Matematik (MJM)

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