Some Remarks on the Proximal Point Algorithm

Hadi Khatibzadeh ()
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Hadi Khatibzadeh: University of Zanjan

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 3, No 13, 769-778

Abstract: Abstract In this paper, we obtain some results on the boundedness and asymptotic behavior of the sequence generated by the proximal point algorithm without summability assumption on the error sequence. We also study the rate of convergence to minimum value of a proper, convex, and lower semicontinuous function. Finally, we consider the proximal point algorithm for solving equilibrium problems.

Keywords: Proximal-point algorithm; Maximal monotone operators; Asymptotic behavior; Rate of convergence; Equilibrium problems; Monotone bifunctions (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-011-9973-5

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