An Interior Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

Papa Quiroz E.A. · Lecture Notes in Networks and Systems (2022) · DOI: 10.1007/978-3-030-92666-3_1

Resumen

We introduce an interior proximal point algorithm with proximal distances to solve quasimonotone Equilibrium problems defined on convex sets. Under adequate assumptions, we prove that the sequence generated by the algorithm converges to a solution of the problem and for a broad class of proximal distances the rate of convergence of the sequence is linear or superlinear.

Instituciones: Universidad Nacional Mayor de San Marcos; Universidad Privada del Norte