Equilibrium Problems and Proximal Algorithms in Hadamard Spaces

Autor:	Kumam, Poom, Chaipunya, Parin
Rok vydání:	2018
Předmět:	Mathematics - Optimization and Control Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider the equilibrium problems and also their regularized problems under the setting of Hadamard spaces. The solution to the regularized problem is represented in terms of resolvent operators. As an essential machinery in the existence of an equilibrium, we first prove that the KKM principle is attained in general Hadamard spaces without assuming the compactness of the closed convex hull of a finite set. We construct the proximal algorithm based on this regularization and give convergence analysis adequately.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.10900 Zobrazit plný text záznamu View this record from Arxiv