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

Fixexd point theory and applications

Guiwen Lv¹  Zhiqun Xue¹  BE Rhoades² 

[1] Department of Mathematics and Physics, Shijiazhuang Railway University, Shijiazhuang, China;Department of Mathematics, Indiana University, Bloomington, USA

关键词: Banach Space;    Continuous Mapping;    Differential Geometry;    Contraction Mapping;    Computational Biology;   

DOI  :  10.1155/2010/252871

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We show the equivalence of the convergence of Picard and Krasnoselskij, Mann, and Ishikawa iterations for the quasi-contraction mappings in convex metric spaces.

【 授权许可】

CC BY