Results in Nonlinear Analysis (Mar 2021)
The Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings
Abstract
Charles[1] proved the convergence of Picard-type iterative for generalized Φ−accretive non-self mappings 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 errors for generalized Φ−hemi-contractive mappings.
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