Godwin Chidi Ugwunnadi, “Modified proximal point algorithm for minimization and fixed point problem in CAT(0) spaces”, Ural Math. J., 2021, Volume 7, Issue 1,Pages <nobr>109

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

Godwin Chidi Ugwunnadi^ab

^a Department of Mathematics, University of Eswatini
^b Department of Mathematics and Applied Mathematics, Sefako Makgato Health Science University

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

Language: English

DOI: 10.15826/umj.2021.1.010