Hybrid projection methods for Bregman totally quasi-D-asymptotically nonexpansive mappings. (English) Zbl 1481.47104
Summary: In this paper, a new iterative scheme by hybrid projection method is proposed for a finite family of Bregman totally quasi-\(D\)-asymptotically nonexpansive mappings. Conditions ensuring strong convergence are imposed to common elements of set of common fixed points of the mappings and set of common solutions to a system of generalized mixed equilibrium problems in a reflexive Banach space. These results extend many important recent ones in the literature.
MSC:
| 47J26 | Fixed-point iterations |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
Keywords:
Bregman totally quasi-\(D\)-asymptotically nonexpansive mapping; generalized mixed equilibrium problem; Bregman distance function; hybrid projection method; strong convergence; fixed point; reflexive Banach spaceReferences:
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