TY - JOUR ID - 700985 TI - Fixed Point Results for Multivalued Mapping in $\mathrm{R}$-Metric Space JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Malhotra, Astha AU - Kumar, Deepak AD - Department of Mathematics, Lovely Professional University, Phagwara-144411, Punjab, India. Y1 - 2023 PY - 2023 VL - 20 IS - 2 SP - 109 EP - 121 KW - R-metric space KW - Multivalued mapping KW - Fixed point DO - 10.22130/scma.2022.549903.1069 N2 - This 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. UR - https://scma.maragheh.ac.ir/article_700985.html L1 - https://scma.maragheh.ac.ir/article_700985_48f908594848ee064ec340943bf82358.pdf ER -