STABLE ITERATION SCHEMES FOR NONLINEAR STRONGLY QUASI-ACCRETIVE AND STRICTLY HEMICONTRACTIVE OPERATORS IN BANACH SPACE

Abstract

The purpose of this paper is to prove that Ishikawa iteration schemes with errors are stable with respect to Lipschitz strongly quasi-accretive operators in Banach spaces. A few related results deal with the stability of Ishikawa iteration schemes with errors for the classes of Lipschitz strictly hemi-contractive operators and Lipschitz strongly pseudocontractive operators. The results presented in this paper extend, improve and unify several important recent results.