D-gap Functions for a Class of Equilibrium Problems in Banach Spaces
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0018 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0018 | ||
| 245 | 0 | 0 | |a D-gap Functions for a Class of Equilibrium Problems in Banach Spaces |h [Elektronische Daten] |
| 520 | 3 | |a 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. | |
| 540 | |a 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. | ||
| 690 | 7 | |a equilibrium problems |2 nationallicence | |
| 690 | 7 | |a nonsmooth functions |2 nationallicence | |
| 690 | 7 | |a Banach spaces |2 nationallicence | |
| 690 | 7 | |a unconstrained minimization |2 nationallicence | |
| 700 | 1 | |a Konnov |D I. V. |u Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008. | |
| 700 | 1 | |a Pinyagina |D O. V. |u Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/2(2003), 274-286 |x 1609-4840 |q 3:2<274 |1 2003 |2 3 |o cmam | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0018 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Konnov |D I. V. |u Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008 | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pinyagina |D O. V. |u Department of Applied Mathematics, Kazan State University, 18, Kremlevskaya st., Kazan, Russia, 420008 | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/2(2003), 274-286 |x 1609-4840 |q 3:2<274 |1 2003 |2 3 |o cmam | ||
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