Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation

The purpose of this article is to discuss some new aspects the vector-valued metric space. idea an arbitrary binary relation along with well-known F contraction used demonstrate existence fixed points in context a complete space for both single- and multi-valued mappings. Utilizing relation, help contraction, work extends complements very recently established Perov-type fixed-point results literature. Furthermore, includes examples justify validity given results. During discussion, it was found that renowned metrical proven by several authors using different relations, such as partial order, pre-order, transitive tolerance, strict order symmetric closure, can be weakened relation.