Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S2417 - S2431|
|Published online||02 March 2021|
Split variational inclusions for Bregman multivalued maximal monotone operators
Department of Mathematics, Government College University, Katchery Road, Lahore 54000, Pakistan
2 Department of Mathematics, Adiyaman University, Adiyaman 02040, Turkey
3 Department of Mathematics, Sa’adatu Rimi College of Education, Kumbotso Kano, P.M.B. 3218 Kano, Nigeria
4 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
* Corresponding author: firstname.lastname@example.org
Accepted: 29 July 2020
We introduce a new algorithm to approximate a solution of split variational inclusion problems of multivalued maximal monotone operators in uniformly convex and uniformly smooth Banach spaces under the Bregman distance. A strong convergence theorem for the above problem is established and several important known results are deduced as corollaries to it. As application, we solve a split minimization problem and provide a numerical example to support better findings of our result.
Mathematics Subject Classification: 47J25
Key words: Split variational inclusion problem / maximal monotone operators / Bregman distance / strong convergence / uniformly convex and uniformly smooth Banach space
© EDP Sciences, ROADEF, SMAI 2021
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