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 -