On maximal monotonicity of bifunctions on Hadamard manifolds

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 equilibr...

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Bibliographic Details
Published in:Journal of global optimization 2018-11, Vol.72 (3), p.591-601
Main Authors: Cruz Neto, J. X., Jacinto, F. M. O., Soares, P. A., Souza, J. C. O.
Format: Article
Language:English
Subjects:
Computer Science
Manifolds
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Real Functions
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Summary: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.
ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-018-0663-9