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A minimization algorithm for equilibrium problems with polyhedral constraints |
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| Authors: | JX Cruz Neto JO Lopes PA Soares Jr |
| Institution: | 1. CCN, DM, Universidade Federal do Piauí, Terezina, Brazil.jxavier@ufpi.edu.br;3. CCN, DM, Universidade Federal do Piauí, Terezina, Brazil.;4. CCN, DM, Universidade Estadual do Piauí, Terezina, Brazil. |
| Abstract: | Our aim in this paper is to study an infeasible interior proximal method for solving equilibrium problems with polyhedral constrains in a quasiconvex setting. Under mild assumptions, we show that the sequence generated by our algorithm is well defined and it converges to a solution of the problem when regularization parameters converge to zero. |
| Keywords: | equilibrium problem infeasible interior proximal point method second-order homogeneous distances generalized convexity |