Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 231, Issue 1, Pages 403-411Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2009.03.006
Keywords
Equilibrium problem; D-gap function; Error bound; Unconstrained optimization
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Funding
- NSFC [10871113]
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The equilibrium Problem (EP) can be reformulated as an unconstrained minimization problem through the generalized D-gap function. In this paper, we propose an algorithm for minimizing the problem and analyze some convergence properties of the proposed algorithm. Under some reasonable conditions, we show that the iteration sequence generated by the algorithm is globally convergent and converges to a solution to the EP and the generalized D-gap function provides a global error bound for the algorithm. (C) 2009 Elsevier B.V. All rights reserved.
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