A monotone Bregman projection algorithm for fixed point and equilibrium problems in a reflexive Banach space. (A monotone Bregan projection algorithm for fixed point and equilibrium problems in a reflexive Banach space.) (English) Zbl 1502.47084
Summary: In this paper, a monotone Bregman projection algorithm is investigated for solving equilibrium problems and common fixed point problems of a family of closed multi-valued Bregman quasi-strict pseudocontractions. Strong convergence is guaranteed in the framework of reflexive Banach spaces.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H04 | Set-valued operators |
| 47H05 | Monotone operators and generalizations |
Keywords:
Bregman projection; strong convergence; equilibrium problem; fixed point; variational inequality; reflexive Banach spacesReferences:
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