CONVERGENCE OF MANN ITERATION PROCESS TO A FIXED POINT OF (α, β)-NONEXPANSIVE MAPPINGS IN Lp SPACES

  • Huynh Thi Be Trang
  • Nguyen Trung Hieu*
Keywords: (α, β)-nonexpansive mapping, fixed point, Lp spaces, strictly pseudo-contractive mapping.

Abstract

In this paper, we prove the convergence of Mann iteration to fixed points of (α, β)-nonexpansive and strictly pseudo-contractive mappings in spaces. In addition, by using the obtained results, we state the convergence of Mann iteration to solutions of the nonlinear integral equations.

Author Information

Huynh Thi Be Trang1 and Nguyen Trung Hieu2*

1Student, Faculty of Mathematics Teacher Education, Dong Thap University

2Faculty of Mathematics Teacher Education, Dong Thap University

*Corresponding author: ngtrunghieu@dthu.edu.vn

Article history

Received: 10/03/2020; Received in revised form: 20/04/2020; Accepted: 15/05/2020

điểm /   đánh giá
Published
2020-10-19
Issue
Vol. 9 No. 5 (2020): English
Section
NGHIÊN CỨU