Mixed equilibrium problems on Hadamard manifolds

Approximate Efficient Solutions of the Vector Optimization Problem on Hadamard Manifolds via Vector Variational Inequalities

“…There is already software to solve optimization problems on manifolds: Manopt, a Matlab toolbox, available at www.manopt.org, see Boumal et al [31]. Also, Jana and Nahak [32] have generated algorithms that converge to the solution of mixed equilibrium problems over Hadamard manifolds and Souza [33] has designed algorithms of the proximal point method to solve scalar and vector optimization problems over Hadamard manifolds. In our opinion, it is necessary to persevere in these efforts to obtain approximate efficient solutions.…”