Further generalizations of the Ishikawa algorithm

Author:

Haddadi Mohammad Reza1,Parvaneh Vahid2,Bota Monica3

Affiliation:

1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

2. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

3. Department of Mathematics, Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj-Napoca, Romania

Abstract

<abstract><p>We provide an iterative algorithm for fixed point issues in vector spaces in the paragraphs that follow. We demonstrate that, compared to the Ishikawa technique in Banach spaces, the iterative algorithm presented in this study performs better under weaker conditions. In order to achieve this, we compare the convergence behavior of iterations, and taking into account a few offered cases, we support the major findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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