Equilibrium problems and proximal algorithm using tangent space products
Adamu Yusuf Inuwa, Parin Chaipunya, Poom Kumam, Sani Salisu · Carpathian Journal of Mathematics · 2023
This paper presents equilibrium problems and their regularized problems in the framework of Hadamard spaces. Using the concept of tangent space products, we introduce a resolvent operator and deduce essential properties in relation to equilibrium problem. Furthermore, we analyze the regularized problems involving resolvent operators. Finally, we establish two convergence results concerning proximal algorithms