Weak stability of the Ishikawa iteration procedures for ∅-hemicontractions and accretive operators

Weak Stability Results for Jungck-Ishikawa Iteration

The stability of iterative procedures plays an important role while solving the nonlinear equations obtained out of a physical problem using the advanced computational tools. The main purpose of this paper is to present a weaker stability result for Jungck-Ishikawa iteration process for a map satisfying some general contractive conditions in metric spaces. Some well known recent results are als...

The Equivalence of Mann Iteration and Ishikawa Iteration for Non-lipschitzian Operators

We show that the convergence of Mann iteration is equivalent to the convergence of Ishikawa iteration for various classes of non-Lipschitzian operators.

The equivalence of Mann iteration and Ishikawa iteration for ψ-uniformly pseudocontractive or ψ-uniformly accretive maps

Mann Iteration Converges Faster than Ishikawa Iteration for the Class of Zamfirescu Operators

Random Ishikawa Iteration Scheme of Two Random Operators

In this paper, we prove the existence of a random common fixed point of two continuous contractive random operators on a separable Banach space. We introduce the random modified Ishikawa iteration scheme and use our existence result to study weak and strong convergence of this scheme to a unique random common fixed point of two random asymptotically quasi-nonexpansive operator. Our work extends...