Hybrid fixed point results via generalized dynamic process for F-HRS type contractions with application.

In this paper, we have developed some common fixed point theorems satisfying generalized F-contraction for multivalued maps in Dynamic programming in the context of b-metric-like spaces. We have also discussed an example to validate our results. Finally, we have evinced our work with an application to prove the existence theorem for the system of functional equations and Voltera-type integral equations. • In this article, we have achieved to introduce the notion of a new class of F-HRS type contraction in b-metric-like space with dynamic programming. • Within the above mentioned frame work, we have studied the existence of hybrid fixed point results for multivalued maps. • We have extended and unified our results by discussing there applications in the system of functional equation via dynamic programming and Volterra type integral inclusion. • We have also constructed a nontrivial example to support and validate our main result. • The theorems and corollaries presented in this article cannot be directly procured from the correlative metric space versions. [ABSTRACT FROM AUTHOR]