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4 Results Found

  • Article
  • Open Access
1 Citations
1,868 Views
20 Pages

13 May 2022

This paper investigates the Bregman version of the Takahashi-type generic 2-generalized nonspreading mapping which includes the generic 2-generalized Bregman nonspreading mapping as a special case. Relative to the attractive points of nonlinear mappi...

  • Article
  • Open Access
2 Citations
1,546 Views
16 Pages

31 October 2024

In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings with a variational inequality constraint in the setting of...

(This article belongs to the Special Issue Advances in Fixed Point Theory with Applications)
  • Article
  • Open Access
1 Citations
1,407 Views
12 Pages

Resolvents for Convex Functions on Geodesic Spaces and Their Nonspreadingness

  • Takuto Kajimura,
  • Yasunori Kimura and
  • Fumiaki Kohsaka

14 April 2025

The convex optimization problems have been considered by many researchers on geodesic spaces. In these problems, the resolvent operators play an important role. In this paper, we propose new resolvents on geodesic spaces, and we show that they have b...

(This article belongs to the Special Issue New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization, 2nd Edition)
  • Article
  • Open Access
11 Citations
2,930 Views
18 Pages

24 December 2020

In this paper, we propose a generalized viscosity iterative algorithm which includes a sequence of contractions and a self adaptive step size for approximating a common solution of a multiple-set split feasibility problem and fixed point problem for...

(This article belongs to the Special Issue Nonlinear Analysis and Optimization with Applications)