Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces

Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces

In this paper, a new iterative scheme is introduced and also strong convergence theorems for solving split common fixed point problem for uniformly continuous Bregman generalized asymptotically nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces are presented. The results ar...

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Veröffentlicht in:Journal of Nigerian Society of Physical Sciences 2024-03, Vol.1 (2), p.35-50
1. Verfasser: Ibrahim, Yusuf
Format: Artikel
Sprache:eng
Schlagworte:
Bregman distance
Generalized asymptotically nonexpansive mapping
Split common fixed point problem
Strong convergence
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Zusammenfassung:In this paper, a new iterative scheme is introduced and also strong convergence theorems for solving split common fixed point problem for uniformly continuous Bregman generalized asymptotically nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces are presented. The results are proved without the assumption of semicompactness property and or Opial condition
ISSN:2714-2817
2714-4704
DOI:10.46481/jnsps.2019.9