Aftab Hussain, Saud Mastour Alsulami, and Nawab Hussain. New Generalized Dynamic Process in Dynamic Programming and Integral Equation. Dynamic Systems and Applications 30 (2021) No.2, 219-236

https://doi.org/10.46719/dsa20213024

ABSTRACT.
The goal of this work is to develop the notion of generalized dynamic process for almost contractive mapping in the setting of F-metric space and to obtain coincidence point results for a new kind of mapping in a generalized dynamic process. Our results is not executed in the range inclusion condition. We furnish some examples to reinforce our results. As an applications, we execute a few consequences in graphical F-metric space, ordered F-metric space. The motivation of this paper is to observe the solution with the existence and uniqueness of the dynamic programming and the integral equation.

Keywords and Phrases. GDP, almost contraction, F-metric space, graphic, dynamic programming.

 AMS (MOS) Subject Classification. 47H10, 47H04, 60H25, 54H25.