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 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

Kaynakça

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