Fixed Point Results for Multivalued Mapping in R-Metric Space

This paper explores certain fixed point results for mul tivalued mapping in a metric space endowed with an arbitrary bi nary relation R, briefly written as R-metric space. The fixed point results proved are subjected to contraction conditions correspond ing to the multivalued counterpart of F-contraction and F-weak contraction in 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.