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

Authors

  • T. Ibaraki -
  • S. Kajiba

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

Section

Research Articles