TY  - JOUR
T1  - Fixed point and its geometry and application for multivalued integral type contractions in $m_v^b$-metric spaces
AU  - Tomar, Anita
AU  - Alam, Khairul Habib
AU  - Yumnam, Rohen
PY  - 2025
DA  - October
Y2  - 2024
DO  - 10.15672/hujms.1471688
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1708
EP  - 1724
VL  - 54
IS  - 5
LA  - en
AB  - 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.
KW  - differential inclusion
KW  - fixed circle
KW  - fixed disc
KW  - Hausdorff $m_b^v-$metric
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UR  - https://doi.org/10.15672/hujms.1471688
L1  - https://dergipark.org.tr/en/download/article-file/3877036
ER  -