Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 190, Issue 3, Pages 861-878Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-021-01910-2
Keywords
Bregman distance; Bregman projection; Bregman relatively nonexpansive operator; Split common fixed point problem; Split feasibility problem
Funding
- Israel Science Foundation [820/17]
- Fund for the Promotion of Research at the Technion
- Technion General Research Fund
- Science and Technology Fund of the Vietnam Ministry of Education and Training [B2022]
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New cyclic projection algorithms based on Bregman distances are proposed for solving the split common fixed point problem for Bregman relatively nonexpansive operators and the split feasibility problem with multiple output sets in real reflexive Banach spaces.
We study the split common fixed point problem for Bregman relatively nonexpansive operators and the split feasibility problem with multiple output sets in real reflexive Banach spaces. Using Bregman distances, we propose several new cyclic projection algorithms for solving these problems.
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