English

Resolvents of equilibrium problems in a complete geodesic space with negative curvature

Functional Analysis 2022-07-25 v1

Abstract

In this paper, we propose a resolvent of an equilibrium problem in a geodesic space with negative curvature having the convex hull finite property. We prove its well-definedness as a single-valued mapping whose domain is whole space, and study the fundamental properties.

Keywords

Cite

@article{arxiv.2207.10903,
  title  = {Resolvents of equilibrium problems in a complete geodesic space with negative curvature},
  author = {Yasunori Kimura and Tomoya Ogihara},
  journal= {arXiv preprint arXiv:2207.10903},
  year   = {2022}
}

Comments

10 pages