ON NEW EXISTENCE THEOREMS OF COMMON SOLUTIONS FOR THE SYSTEM OF FUNCTIONAL EQUATIONS IN DYNAMIC PROGRAMMING USING THE NEW TYPE OF COMMON LIMIT RANGE PROPERTY.

The aim of this work is to introduce notions of a modification of the common limit in the range property and two generalized multi-valued F-contraction mappings in metric spaces. Fixed point results with two concepts mentioned above are established. Also, we give an example to illustrate our main results. As applications, we prove the existence of a common solution for the system of functional equations in dynamic programming. [ABSTRACT FROM AUTHOR]