Geodesic
Proximal Point Algorithm for a Countable Family of Weighted Resolvent Averages
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 75

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In this paper, we introduce a composite iterative algorithm for finding a common zero point of a countable family of weighted resolvent average of finite family of monotone operators in Hilbert spaces. We prove that the sequence generated by the iterative algorithm converges strongly to a common zero point. Finally, we apply our results to split common zero point problem.
Classification : 47H05 49J40
Keywords: Weighted resolvent average, proximal point algorithm, projection algorithm, strongly monotone operator 
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     author = {Malihe Bagheri and Mehdi Roohi},
     title = {Proximal {Point} {Algorithm} for a {Countable} {Family} of {Weighted} {Resolvent} {Averages}},
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Malihe Bagheri; Mehdi Roohi. Proximal Point Algorithm for a Countable Family of Weighted Resolvent Averages. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 75 . http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a6/