SOME FIXED POINT THEOREMS FOR RATIONAL (α, β, Z)-CONTRACTION MAPPINGS UNDER SIMULATION FUNCTIONS AND CYCLIC (α, β)-ADMISSIBILITY

Abstract

In this paper, we present some fixed point theorems for rational type contractiveconditions in the setting of a complete metric space via a cyclic (α, β)-admissible mapping imbedded in simulation function. Our results extend and generalize some previous works from the existing literature. We also give some examples to illustrate the obtained results.