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

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

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)], (z...

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2006

ISSN: 0161-1712,1687-0425

DOI: 10.1155/ijmms/2006/10328