Fixed Point Results for Multivalued Mapping in \mathrm{R}-Metric Space

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.

کلیدواژه ها:

R-metric space ، Multivalued mapping ، Fixed point