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

A. Aghajania and E. Pourhadib,*

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

Authors :

A. Aghajani^a and E. Pourhadi^b,*

Author Address :

^a,bSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.

*Corresponding author.

Abstract :

In this paper, we give an existence theorem for hybrid generalized multi-valued .-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.

DOI :

Article Info :

Received : May 05, 2013; Accepted : January 08, 2014.