Mean convergence theorems to generalized acute points for generalized pseudocontractions

Year 2023, Volume: 7 Issue: 2, 387 - 404, 23.07.2023

Toshiharu Kawasaki

https://doi.org/10.31197/atnaa.1299905

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 holds 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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