Open Access

  

Original research article

Mean convergence theorems to generalized acute points for generalized pseudocontractions

Author(s):

Toshiharu Kawasaki

Faculty of Engineering, Tamagawa University, Tokyo 194–8610, Japan; Faculty of Science, Chiba University and Faculty of Law, Politics and Economics, Chiba University, Chiba 263–8522, Japan.

Advances in the Theory of Nonlinear Analysis and its Applications 7(2), 387-404.
Received: May 20, 2023

  

  

  

Accepted: June 11, 2023

  

Published: June 14, 2023

Abstract

Convergence theorems required more assumptions on parameters than fixed point theorems. In this paper, we generalize the concept of acute point and we introduce some convergence theorems that hold under the same assumptions on parameters as fixed point theorems.

Keywords: Mean convergence theorem, Generalized acute point, Generalized skew-acute point, Generalized pseudocontraction, Banach space.

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APA Style

Kawasaki, T. (2023). Mean convergence theorems to generalized acute points for generalized pseudocontractions. Advances in the Theory of Nonlinear Analysis and its Application7(2), 387-404.