Modified Ishikawa Iteration Process for Nonlinear Lipschitz Generalized Strongly Pseudo-Contractive Operators in Arbitrary Banach Spaces

Ljubomir B. Ćirić, Jeong Sheok Ume, Siniša N. Ješić, Marina M. Arandjelović-Milovanović · Numerical Functional Analysis and Optimization · 2007

In this paper, we modify the Ishikawa iteration process and show that such process, associated with a nonlinear Lipschitzian generalized strongly pseudo-contractive operator with a fixed point in a (not necessarily uniformly smooth) Banach space, converges strongly to the unique fixed point of this operator.

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