An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifolds

E. E. A. Batista (), G. C. Bento () and O. P. Ferreira ()
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E. E. A. Batista: IME, Universidade Federal de Goiás
G. C. Bento: IME, Universidade Federal de Goiás
O. P. Ferreira: IME, Universidade Federal de Goiás

Journal of Optimization Theory and Applications, 2015, vol. 167, issue 2, No 7, 550-557

Abstract: Abstract We present a sufficient condition for the existence of a solution to the generalized vector equilibrium problem on Hadamard manifolds using a version of the Knaster–Kuratowski–Mazurkiewicz Lemma. In particular, the existence of solutions to optimization, vector optimization, Nash equilibria, complementarity, and variational inequality problems is a special case of the existence result for the generalized vector equilibrium problem.

Keywords: Vector equilibrium problem; Vector optimization; Hadamard manifold; 90C33; 65K05; 47J25; 91E10 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-015-0761-5

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