Approximating Fixed Points of Operators Satisfying the (Bgamma,mu) Condition

Suppose C is any nonempty subset of a Banach space X.A mapping T : C → C is said to satisfy condition (Bγ,µ) if there exists γ ∈ [0, 1] and µ ∈ [0, 1 2 ] with 2µ ≤ γ such that for each two elements x, y ∈ C,In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting.Our results are new and improve some known results of the literature.