SHRINKING PROJECTION METHOD WITH ALLOWABLE RANGES FOR ZERO POINT PROBLEMS IN A BANACH SPACE

Authors

  • T. Ibaraki Department of Mathematics Education, Yokohama National University, Tokiwadai, Hodogaya-ku, Yokohama 240-8501, Japan
  • S. Kajiba Chiba Reimei High School, 625 Ho Yachimata, Chiba 289-1115, Japan

Keywords:

Shrinking projection method, allowable range, zero point, maximal monotone operator, resolvent

Abstract

In this paper, we study the shrinking projection method with allowable ranges introduced by Takeuchi (J. Nonlinear Anal. Optim, 10:83-94, 2019) for the zero point problem. We obtain strong convergence theorems for finding a zero point of a maximal monotone operator in a Banach space. Using our results, we discuss the convex minimization problem.

Additional Files

Published

12/31/2025

Issue

Vol. 16 No. 2 (2025): July-December 2025

Section

Research Articles

License

Copyright (c) 2025 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.