Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 17, Number 6 (2013), 2117-2133.
AN INEXACT PROXIMAL POINT ALGORITHM FOR NONMONOTONE EQUILIBRIUM PROBLEMS IN BANACH SPACES
In this paper, we continue to investigate the inexact hybrid proximal point algorithm proposed by Mashreghi and Nasri for equilibrium problems in Banach spaces. Under some classes of generalized monotone conditions, we prove that the sequence generated by the method is strongly convergent to a solution of the problem, which is closest to the initial iterate, in the sense of Bregman distance. As an application, we obtain some analogues for some classes of generalized monotone variational inequalities. The results presented in this paper generalize and improve some recent results in literatures.
Taiwanese J. Math., Volume 17, Number 6 (2013), 2117-2133.
First available in Project Euclid: 10 July 2017
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Tang, Guo-ji; Wang, Xing. AN INEXACT PROXIMAL POINT ALGORITHM FOR NONMONOTONE EQUILIBRIUM PROBLEMS IN BANACH SPACES. Taiwanese J. Math. 17 (2013), no. 6, 2117--2133. doi:10.11650/tjm.17.2013.3266. https://projecteuclid.org/euclid.twjm/1499706288