caa a22 4500 378855778 CHVBK 20180305123334.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0018 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0018 D-gap Functions for a Class of Equilibrium Problems in Banach Spaces [Elektronische Daten] We consider rather a general class of equilibrium problems in a real Banach space, which involve nonsmooth convex functions. We apply the D-gap function approach to these problems and show that, under certain additional assumptions, they can be converted into a problem of finding a stationary point of a differentiable function. Based on this property, we suggest a descent type algorithm to find a solution to the initial problem. An example of applications to nonlinearly constrained equilibrium problems is also given. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. equilibrium problems nationallicence nonsmooth functions nationallicence Banach spaces nationallicence unconstrained minimization nationallicence Konnov I. V. Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008. Pinyagina O. V. Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008. Computational Methods in Applied Mathematics De Gruyter 3/2(2003), 274-286 1609-4840 3:2<274 2003 3 cmam https://doi.org/10.2478/cmam-2003-0018 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0018 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Konnov I. V. Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008 NATIONALLICENCE 700 1- Pinyagina O. V. Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008 NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/2(2003), 274-286 1609-4840 3:2<274 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter