A general algorithm for multiple-sets split feasibility problem involving resolvents and Bregman mappings |
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Authors: | M Raeisi M Eslamian |
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Institution: | 1. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.;2. Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran. |
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Abstract: | In this paper, by using Bregman distance, we introduce a new iterative process involving products of resolvents of maximal monotone operators for approximating a common element of the set of common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings and the solution set of the multiple-sets split feasibility problem and common zeros of maximal monotone operators. We derive a strong convergence theorem of the proposed iterative algorithm under appropriate situations. Finally, we mention several corollaries and two applications of our algorithm. |
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Keywords: | Bregman projection duality mapping multi-valued Bregman relatively nonexpansive mappings multiple-sets split feasibility problem |
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