Geodesic
Strong convergence theorems and a projection method using a balanced mapping in Hadamard spaces
Filomat, Tome 37 (2023) no. 27, p. 9287

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DOI

In this paper, we prove a strong convergence theorem generated iterative of Halpern type using a balanced mapping of a countable family of nonexpansive mappings. Further, we propose a projection method with balanced mappings.
DOI : 10.2298/FIL2327287K
Classification : 47H09
Keywords: Hadamard space, balanced mapping, nonexpansive mapping, fixed point, Halpern type iteration, metric projection 
Yasunori Kimura; Tomoya Ogihara. Strong convergence theorems and a projection method using a balanced mapping in Hadamard spaces. Filomat, Tome 37 (2023) no. 27, p. 9287 . doi: 10.2298/FIL2327287K
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     title = {Strong convergence theorems and a projection method using a balanced mapping in {Hadamard} spaces},
     journal = {Filomat},
     pages = {9287 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327287K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327287K/}
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