Full Text: PDF
Volume 5, Issue 3, 1 June 2021, Pages 459-476
Abstract. We consider the vector equilibrium problem in Hadamard manifolds, which extends the scalar equilibrium problem to vector valued bifunctions. We propose an extragradient method for solving this problem. Under suitable assumptions on the bifunction, we prove that the generated sequence converges to a solution of the problem. We also give some examples of Hadamard manifolds and vector equilibrium problems to which our main result can be applied. Finally, we present some numerical experiments.
How to Cite this Article:
Alfredo N. Iusem, Vahid Mohebbi, An extragradient method for vector equilibrium problems on Hadamard manifolds, J. Nonlinear Var. Anal. 5 (2021), 459-476.