Resolvents of equilibrium problems on a complete geodesic space with curvature bounded above

We consider equilibrium problems on a complete geodesic space with curvature bounded above by one and propose the notion of resolvents for this problem. We prove its well-definedness as a single-valued mapping whose domain is the whole space, and its geometric properties.

Automated summary

This study focuses on equilibrium problems on a complete geodesic space with curvature bounded above by one, introducing the notion of resolvents. The well-definedness of resolvents as a single-valued mapping with the entire space as its domain is proven, along with its geometric properties.