On maximal monotonicity of bifunctions on Hadamard manifolds

• DOI: 10.1007/s10898-018-0663-9
• Publication Date: 2018-05-18T06:04:04Z
• Authors: J. X. Cruz Neto; F. M. O. Jacinto; P. A. Soares; J. C. O. Souza
• Keywords: 0211 other engineering and technologies; 02 engineering and technology

We study some conditions for a monotone bifunction to be maximally monotone by using a corresponding vector field associated to the bifunction and vice versa. This approach allows us to establish existence of solutions to equilibrium problems in Hadamard manifolds obtained by perturbing the equilibrium bifunction.