Strong convergence of a modified implicit iteration process for a finite family of Z-operators

نویسنده

  • Arif Rafiq
چکیده

Combining these three definitions, Zamfirescu [12] proved the following important result. Theorem 1.1. Let (X ,d) be a complete metric space and T : X → X a mapping for which there exists the real numbers a,b, and c satisfying a∈ (0,1), b,c ∈ (0,1/2) such that for each pair x, y ∈ X , at least one of the following conditions holds: (z1) d(Tx,Ty)≤ ad(x, y), (z2) d(Tx,Ty)≤ b[d(x,Tx) +d(y,Ty)], (z3) d(Tx,Ty)≤ c[d(x,Ty) +d(y,Tx)].

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2006  شماره 

صفحات  -

تاریخ انتشار 2006