Resolvents of the equilibrium problem with generalized perturbations on complete geodesic spaces

In this paper, we study a class of resolvent operators for the equilibrium problem on a complete geodesic space. We prove such an operator defined by using a strictly midpoint convex perturbation function is well-defined as a single-valued mapping. We also show its natures.

Bibliographic Details
Main Authors: Yasunori Kimura, Kazuya Sasaki
Format: Article
Language:English
Published: ATNAA 2023-11-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://atnaea.org/index.php/journal/article/view/277/235
Description
Summary:In this paper, we study a class of resolvent operators for the equilibrium problem on a complete geodesic space. We prove such an operator defined by using a strictly midpoint convex perturbation function is well-defined as a single-valued mapping. We also show its natures.
ISSN:2587-2648