New Convergence Theorems for Certain Iterative Schemes in Banach Spaces
Hua‐Cheng Zhou, Y.J. Cho · Rocky Mountain Journal of Mathematics · 2006
In this paper, we first review some convergence results for certain iterative schemes for a certain class of operators and discuss essential relations between the old results and new results.Then we establish several general convergence principles for certain iterative schemes for accretive operators, and show how our convergence principles can be applied to Mann's and Ishikawa's methods.Finally, four open problems are also given.