A simple proof for Kazmi et al.’s iterative scheme – Advances in the theory of nonlinear analysis and its applications

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Original research article

A simple proof for Kazmi et al.'s iterative scheme

Author(s):

Ebrahim Soori^a, Ravi P. Agarwal^b

^a Department of Mathematics, Lorestan University, P.O. Box 465, Khorramabad, Lorestan, Iran.
^b Department of Mathematics, Texas A&M University–Kingsville, Texas 78363, USA.

Advances in the Theory of Nonlinear Analysis and its Applications 6(1), 28-32.

Received: May 23, 2021

Accepted: October 5, 2021

Published: October 9, 2021

Abstract

In this paper, we provide a simple proof for the existence of an iterative scheme involving two Hilbert spaces, originally proposed by Kazmi et al. [K.R. Kazmi, R. Ali, M. Furkan, Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings, Numer. Algor., 2017]. The proof presented here offers a more direct and accessible approach to establishing the convergence of the iterative process.

Keywords: Weak convergence; Strong convergence; Hilbert space.

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APA Style

Soori, E., & Agarwal, R. (2018). A simple proof for Kazmi et al.’s iterative scheme. Advances in the Theory of Nonlinear Analysis and its Application, 6(1), 28-32.