A RELATION-THEORETIC (F,R)-CONTRACTION PRINCIPLE WITH APPLICATIONS TO MATRIX EQUATIONS

摘要

In this paper, we introduce certain notions namely: (F,R)-contraction, T-orbital transitivity and orbit R-continuity and utilize the same to prove a relation-theoretic contraction principle under (F,R)-contraction in a metric space endowed with a binary relation R. We also furnish some examples to demonstrate the utility of our main results. As applications, we apply our main results to nonlinear matrix equations.