Yasunori Kimura, Kazuya Sasaki
Department of Information Science, Toho University, Miyama, Funabashi, Chiba 274-8510, Japan.
In this paper, we study a class of resolvent operators for the equilibrium problem on a complete geodesic space. We prove that such an operator, defined by using a strictly midpoint convex perturbation function, is well-defined as a single-valued mapping. We also show its properties.
Keywords: Equilibrium problem, resolvent, CAT(κ) space, geodesic space, nonspreading mapping.
Kimura, Y., & Sasaki, K. (2023). Resolvents of the equilibrium problem with generalized perturbations on complete geodesic spaces. Advances in the Theory of Nonlinear Analysis and Its Application, 7(3), 97–108.