- Results in Nonlinear Analysis
- Vol: 4 Issue: 1
- The Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings
The Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings
Authors : Linxin Li, Dingping Wu
Pages : 47-56
Doi:10.53006/rna.793940
View : 12 | Download : 9
Publication Date : 2021-03-31
Article Type : Research
Abstract :Charles[1] proved the convergence of Picard-type iterative for generalized Φ− accretive non-self maps in a real uniformly smooth Banach space. Based on the theorems of the zeros of strongly Φ− quasi- accretive and fixed points of strongly Φ− hemi-contractions, we extend the results to Ishikawa iterative and Ishikawa iteration process with er- rors for generalized Φ− hemi-contractive maps .Keywords : Ishikawa iteration process with errors, unique solution, strongly Φ−quasi-accretive