caa a22 4500 463169522 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10957-007-9279-9 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9279-9 Chen J.-S Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan aut Conditions for Error Bounds and Bounded Level Sets of Some Merit Functions for the Second-Order Cone Complementarity Problem [Elektronische Daten] [J.-S. Chen] Recently this author studied several merit functions systematically for the second-order cone complementarity problem. These merit functions were shown to enjoy some favorable properties, to provide error bounds under the condition of strong monotonicity, and to have bounded level sets under the conditions of monotonicity as well as strict feasibility. In this paper, we weaken the condition of strong monotonicity to the so-called uniform P *-property, which is a new concept recently developed for linear and nonlinear transformations on Euclidean Jordan algebra. Moreover, we replace the monotonicity and strict feasibility by the so-called R 01 or R 02-functions to keep the property of bounded level sets. Springer Science+Business Media, LLC, 2007 Error bounds nationallicence Jordan products nationallicence Level sets nationallicence Merit functions nationallicence Second-order cones nationallicence Spectral factorization nationallicence Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 459-473 0022-3239 135:3<459 2007 135 10957 https://doi.org/10.1007/s10957-007-9279-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9279-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chen J.-S Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/3(2007-12-01), 459-473 0022-3239 135:3<459 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer