Geodesic
A descent method with inexact linear search for nonsmooth equilibrium problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 10, pp. 1812-1818

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A descent method with respect to the gap function is formulated and justified for the nonsmooth equilibrium problem. It uses the procedure of inexact linear search of the Armijo type. The proposed method converges under the same assumptions as the methods with exact linear search. 
@article{ZVMMF_2008_48_10_a4,
     author = {I. V. Konnov and O. V. Pinyagina},
     title = {A descent method with inexact linear search for nonsmooth equilibrium problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1812--1818},
     publisher = {mathdoc},
     volume = {48},
     number = {10},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_10_a4/}
}
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I. V. Konnov; O. V. Pinyagina. A descent method with inexact linear search for nonsmooth equilibrium problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 10, pp. 1812-1818. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_10_a4/