Fixed Point and its Geometry and Application for Multivalued Integral Type Contractions in mb v−metric spaces

This research explores fixed points for particularly integral type multivalued mappings, in mbv−metric spaces. Additionally, we study fixed circle problems offering geometric insights into sets of fixed points. This research paper contributes to the evolving field of multivalued mapping results in mbv− spaces, drawing inspiration from the framework of Hausdorff. Further, motivated by the wide applications of differential inclusions as set-valued maps, we explore first-order nonlinear differential inclusions in mbv−metric spaces using established conclusions.