caa a22 4500 475750551 CHVBK 20180406123522.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1026506516738 doi (NATIONALLICENCE)springer-10.1023/A:1026506516738 Some Methods Based on the D-Gap Function for Solving Monotone Variational Inequalities [Elektronische Daten] [Michael Solodov, Paul Tseng] The D-gap function has been useful in developing unconstrained descent methods for solving strongly monotone variational inequality problems. We show that the D-gap function has certain properties that are useful also for monotone variational inequality problems with bounded feasible set. Accordingly, we develop two unconstrained methods based on them that are similar in spirit to a feasible method of Zhu and Marcotte based on the regularized-gap function. We further discuss a third method based on applying the D-gap function to a regularized problem. Preliminary numerical experience is also reported. Kluwer Academic Publishers, 2000 monotone variational inequalities nationallicence implicit Lagrangian nationallicence D-gap function nationallicence stationary point nationallicence descent methods nationallicence Solodov Michael Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, 22460-320, Rio de Janeiro, RJ, Brazil aut Tseng Paul Department of Mathematics, University of Washington, 98195, Seattle, WA, USA aut Computational Optimization and Applications Kluwer Academic Publishers 17/2-3(2000-12-01), 255-277 0926-6003 17:2-3<255 2000 17 10589 https://doi.org/10.1023/A:1026506516738 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026506516738 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Solodov Michael Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, 22460-320, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 700 1- Tseng Paul Department of Mathematics, University of Washington, 98195, Seattle, WA, USA aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 17/2-3(2000-12-01), 255-277 0926-6003 17:2-3<255 2000 17 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer