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Paper   IPM / M / 17077
School of Mathematics
  Title:   Split common fixed point problem for demimetric mappings and Bregman relatively nonexpansive mappings
  Author(s):  Mohammad Eslamian
  Status:   Published
  Journal: Optimization
  Year:  2022
  Pages:   DOI: 10.1080/02331934.2022.2094266
  Supported by:  IPM
  Abstract:
In this paper, we study the split common fixed point problem for a finite family of demimetric mappings and a finite family of Bregman relatively nonexpansive mappings in $p$-uniformly convex and uniformly smooth Banach spaces. We prove a strong convergence theorem of Halpern's type iteration for finding a solution of the split common fixed point problem. The obtained result of this paper complements many recent results in this direction.

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