Fixed point and its geometry and application for multivalued integral type contractions in $m_v^b$-metric spaces

Year 2025, Volume: 54 Issue: 5, 1708 - 1724, 29.10.2025

Khairul Habib Alam , Rohen Yumnam , Anita Tomar

https://doi.org/10.15672/hujms.1471688

Abstract

This research explores fixed points for particularly integral type multivalued mappings, in $m^b_v-$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 $m^b_v-$ 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 $m_v^b-$metric spaces using established conclusions.

Keywords

differential inclusion , fixed circle , fixed disc , Hausdorff $m_b^v-$metric

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