On maximal monotonicity of bifunctions on Hadamard manifolds

J. X. Cruz Neto (), F. M. O. Jacinto (), P. A. Soares () and J. C. O. Souza ()
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J. X. Cruz Neto: Universidade Federal do Piauí
F. M. O. Jacinto: Universidade Federal do Amazonas
P. A. Soares: Universidade Estadual do Piauí
J. C. O. Souza: Universidade Federal do Piauí

Journal of Global Optimization, 2018, vol. 72, issue 3, No 11, 601 pages

Abstract: Abstract 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.

Keywords: Bifunction; Monotone vector fields; Equilibrium problems; Hadamard manifolds (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10898-018-0663-9

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