caa a22 4500 463169999 CHVBK 20180406164810.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10957-007-9186-0 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9186-0 Equivalence of Equilibrium Problems and LeastElement Problems [Elektronische Daten] [Y.-P. Fang, N.-J. Huang] In this paper, we introduce the concept of feasible set for an equilibrium problem with a convex cone and generalize the notion of a Z-function for bifunctions. Under suitable assumptions, we derive some equivalence results of equilibrium problems, least element problems, and nonlinear programming problems. The results presented extend some results of [Riddell, R.C.: Equivalence of nonlinear complementarity problems and least element problems in Banach lattices. Math. Oper. Res. 6, 462-474 (1981)] to equilibrium problems. Springer Science+Business Media, LLC, 2007 Strictly monotone functions nationallicence Z -function nationallicence Equilibrium problems nationallicence Feasible sets nationallicence Least element problems nationallicence Fang Y.-P Department of Mathematics, Sichuan University, Chengdu, Sichuan, People's Republic of China aut Huang N.-J Department of Mathematics, Sichuan University, Chengdu, Sichuan, People's Republic of China aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/3(2007-03-01), 411-422 0022-3239 132:3<411 2007 132 10957 https://doi.org/10.1007/s10957-007-9186-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9186-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fang Y.-P Department of Mathematics, Sichuan University, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 700 1- Huang N.-J Department of Mathematics, Sichuan University, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/3(2007-03-01), 411-422 0022-3239 132:3<411 2007 132 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer