%0 Journal Article
%T Fixed Point Results for Multivalued Mapping in $\mathrm{R}$-Metric Space
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Malhotra, Astha
%A Kumar, Deepak
%D 2023
%\ 03/01/2023
%V 20
%N 2
%P 109-121
%! Fixed Point Results for Multivalued Mapping in $\mathrm{R}$-Metric Space
%K R-metric space
%K Multivalued mapping
%K Fixed point
%R 10.22130/scma.2022.549903.1069
%X 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.
%U https://scma.maragheh.ac.ir/article_700985_48f908594848ee064ec340943bf82358.pdf