University of MaraghehSahand Communications in Mathematical Analysis2322-580720220230301Fixed Point Results for Multivalued Mapping in $\mathrm{R}$-Metric Space10912170098510.22130/scma.2022.549903.1069ENAsthaMalhotraDepartment of Mathematics, Lovely Professional University, Phagwara-144411, Punjab, India.0000-0002-6419-3951DeepakKumarDepartment of Mathematics, Lovely Professional University, Phagwara-144411, Punjab, India.0000-0002-1028-5594Journal Article20220303This paper explores certain fixed point results for multivalued mapping in a metric space endowed with an arbitrary binary relation $\mathrm{R}$, briefly written as $\mathrm{R}$-metric space. The fixed point results proved are subjected to contraction conditions corresponding to the multivalued counterpart of $F$-contraction and $F$-weak contraction in $\mathrm{R}$-metric space. The main results unify, extend and generalize the results on multivalued and single-valued mapping in the literature. To support the conclusion, several examples have been provided.https://scma.maragheh.ac.ir/article_700985_48f908594848ee064ec340943bf82358.pdf