On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces

Authors :: Guiwen Lv
Zhiqun Xue
Billy E. Rhoades
Source :: Fixed Point Theory and Applications, Vol 2010, Iss 1, p 252871 (2010), Fixed Point Theory and Applications, Vol 2010 (2010)
Publication Year :: 2010
Publisher :: Springer Science and Business Media LLC, 2010.
Abstract: We show the equivalence of the convergence of Picard and Krasnoselskij, Mann, and Ishikawa iterations for the quasi-contraction mappings in convex metric spaces.

Subjects :: Discrete mathematics
T57-57.97
QA299.6-433
Applied mathematics. Quantitative methods
Applied Mathematics
Equivalence of metrics
Convex metric space
Mathematics::Algebraic Geometry
Differential geometry
Geometry and Topology
Equivalence (formal languages)
Contraction (operator theory)
Analysis
Mathematics

Tools