Modified proximal point algorithm for minimization and fixed point problem in CAT(0) spaces

Godwin Chidi Ugwunnadi

Ural mathematical journal, Tome 7 (2021) no. 1, pp. 109-119

Résumé

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.

Détail

Keywords: total asymptotically nonexpansive mapping, fixed point, strong convergence, CAT(0) space.
Mots-clés : proximal point algorithm, $\triangle$ convergence

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