On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces
1 Department of Mathematics and Physics, Shijiazhuang Railway University, Shijiazhuang 050043, China
2 Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
Fixed Point Theory and Applications 2010, 2010:252871 doi:10.1155/2010/252871Published: 19 September 2010
We show the equivalence of the convergence of Picard and Krasnoselskij, Mann, and Ishikawa iterations for the quasi-contraction mappings in convex metric spaces.