12 citations · 29 across the 11 of their papers we have counts for
11 papers
Parallel methods for quasinonexpansive mappings in a Hilbert space
Koji Aoyama, Shigeru Iemoto
This paper is devoted to the problem of finding a common fixed point of quasinonexpansive mappings defined on a Hilbert space. To approximate the solution to this problem, we prese…
Mean convergence theorems with respect to attractive points in a Hilbert space
Koji Aoyama, Masashi Toyoda
In this paper, we show a mean convergence theorem for a mapping with an attractive point in a Hilbert space by using a quasinonexpansive extension of the mapping and a mean converg…
A quasinonexpansive extension of a mapping with an attractive point in a Hilbert space
Koji Aoyama
In this paper, we show that, under appropriate conditions, there exists a quasinonexpansive extension of a mapping with an attractive point in the sense of Takahashi and Takeuchi (…
Non-SUSY Heterotic String Vacua of Gepner Models with Vanishing Cosmological Constant
Koji Aoyama, Yuji Sugawara
We study a natural generalization of that given in [arXiv:2005.13198 [hep-th]] to heterotic string. Namely, starting from the generic Gepner models for Calabi-Yau 3-folds, we const…
Fixed point theorem for a Meir-Keeler type mapping in a metric space with a transitive relation
Koji Aoyama, Masashi Toyoda
The aim of this paper is to provide characterizations of a Meir-Keeler type mapping and a fixed point theorem for the mapping in a metric space endowed with a transitive relation.
Non-SUSY Gepner Models with Vanishing Cosmological Constant
Koji Aoyama, Yuji Sugawara
In this article we discuss a construction of non-SUSY type II string vacua with the vanishing cosmological constant at the one loop level based on the generic Gepner models for Cal…
Approximation of common fixed points of strongly nonexpansive sequences in a Banach space
Koji Aoyama, Masashi Toyoda
The aim of this paper is to establish a strong convergence theorem for a strongly nonexpansive sequence in a Banach space. We also deal with some applications of the convergence th…
Approximation of fixed points of nonexpansive mappings and quasinonexpansive mappings in a Hilbert space
Koji Aoyama
In this paper, we give a simple proof and some generalizations of results in Falset, Llorens-Fuster, Marino, and Rugiano (2016).
Strongly quasinonexpansive mappings, II
Koji Aoyama, Kei Zembayashi
This paper is devoted to the study of strongly quasinonexpansive mappings in an abstract space and a Banach space.
Strong convergence theorems for strongly relatively nonexpansive sequences and applications
Koji Aoyama, Yasunori Kimura, Fumiaki Kohsaka
The aim of this paper is to establish strong convergence theorems for a strongly relatively nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ our…
A note on the hybrid steepest descent methods
Koji Aoyama, Yasunori Kimura
The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the hybrid steepest descent method is convergent whenever so is every itera…