The Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings

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Results in Nonlinear Analysis
Volume: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 Lİ, Dingping WU

Pages : 47-56

Doi:10.53006/rna.793940

View : 14 | Download : 11

Publication Date : 2021-03-31

Article Type : Research Paper

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

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