TY - GEN
T1 - A Proximal Method for Multiobjective Quasiconvex Minimization on the Nonnegative Orthant and its Application to Demand Theory in Microeconomy
AU - Quiroz, Erik Alex Papa
AU - Marcatinco, Dante Borda
AU - Sánchez, Frank Collantes
N1 - Publisher Copyright:
© 2020 ACM.
PY - 2020/6/14
Y1 - 2020/6/14
N2 - In this paper we propose an inexact proximal point method to solve multiobjective minimization problems with locally Lipschitz quasiconvex objective functions on the nonnegative orthant. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we obtain the convergence of the sequences generated by the algorithm. We give some computational results and an application to demand theory is presented.
AB - In this paper we propose an inexact proximal point method to solve multiobjective minimization problems with locally Lipschitz quasiconvex objective functions on the nonnegative orthant. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we obtain the convergence of the sequences generated by the algorithm. We give some computational results and an application to demand theory is presented.
KW - Microeconomy
KW - nonnegative orthant
KW - proximal method
KW - quasiconvex multiobjective minimization
UR - https://www.scopus.com/pages/publications/85089743709
U2 - 10.1145/3402597.3402611
DO - 10.1145/3402597.3402611
M3 - Conference contribution
AN - SCOPUS:85089743709
T3 - ACM International Conference Proceeding Series
SP - 75
EP - 81
BT - Proceedings of the 2020 3rd International Conference on Robot Systems and Applications, ICRSA 2020
T2 - 3rd International Conference on Robot Systems and Applications, ICRSA 2020
Y2 - 14 June 2020 through 16 June 2020
ER -