Int. Journal of Math. Analysis, Vol. 2, 2008, no. 12, 563 - 568 Alternating Picard Iterates for Hybrid Boyd-Wong Contractions Suling Zhang Basic Science Department of JiaoZuo University JiaoZao, P. R. China, 454003 Qingtang Zhu Mathematics Department of JiaoZuo Teachers College JiaoZao, P. R. China, 454000 Yisheng Song 1 College of Mathematics and Information Science Henan Normal University, XinXiang, P. R. China, 453007 songyisheng123@yahoo.com.cn Abstract. In this paper, we introduce the notion of (f,g )-Boyd-Wong contraction, and prove coincidence point and common fixed-point theorems for such contractions and f,g , which is a generalization of fixed-point theorems of Boyd-Wong [Proc. Amer. Math. Soc., 20(1969), 458-464], Al-Thagafi and Shahzad (Theorem 2.1) [Nonlinear Analysis, 64(2006), 2778 - 2786] and many various known results existing in the literature. In our discussion, we use alternating Picard iterative algorithms. Mathematics Subject Classification: 41A50, 47H10, 54H25 Keywords: Alternating iteration, weakly compatible mappings, common fixed points 1. Introduction and Preliminaries Let K be a nonempty subset of a metric space E, and f and g and T three selfmaps of K , and C (f,g,T ) the set of coincidence points of f and g and T (i.e. C (f,g,T )= {x ∈ K ; fx = Tx = gx}), and F (T ) the set of fixed points 1 Corresponding author