Geodesic
Modified proximal point algorithm for minimization and fixed point problem in CAT(0) spaces
Ural mathematical journal, Tome 7 (2021) no. 1, pp. 109-119

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In this paper, we study modified-type proximal point algorithm for approximating a common solution of a lower semi-continuous mapping and fixed point of total asymptotically nonexpansive mapping in complete CAT(0) spaces. Under suitable conditions, some strong convergence theorems of the proposed algorithms to such a common solution are proved.
Keywords: total asymptotically nonexpansive mapping, fixed point, strong convergence, CAT(0) space.
Mots-clés : proximal point algorithm, $\triangle$ convergence 
@article{UMJ_2021_7_1_a9,
     author = {Godwin Chidi Ugwunnadi},
     title = {Modified proximal point algorithm for minimization and fixed point problem in {CAT(0)} spaces},
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     pages = {109--119},
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     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2021_7_1_a9/}
}
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Godwin Chidi Ugwunnadi. Modified proximal point algorithm for minimization and fixed point problem in CAT(0) spaces. Ural mathematical journal, Tome 7 (2021) no. 1, pp. 109-119. http://geodesic.mathdoc.fr/item/UMJ_2021_7_1_a9/