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Ural Mathematical Journal, 2021, Volume 7, Issue 1, Pages 109–119
DOI: https://doi.org/10.15826/umj.2021.1.010 (Mi umj142) 		 
Modified proximal point algorithm for minimization and fixed point problem in CAT(0) spaces

Godwin Chidi Ugwunnadiab

a Department of Mathematics, University of Eswatini
b Department of Mathematics and Applied Mathematics, Sefako Makgato Health Science University
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DOI: https://doi.org/10.15826/umj.2021.1.010
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.
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Document Type: Article
Language: English
Citation: Godwin Chidi Ugwunnadi, “Modified proximal point algorithm for minimization and fixed point problem in CAT(0) spaces”, Ural Math. J., 7:1 (2021), 109–119
Citation in format AMSBIB
\Bibitem{Ugw21}
\by Godwin~Chidi~Ugwunnadi
\paper Modified proximal point algorithm for minimization and fixed point problem in CAT(0) spaces
\jour Ural Math. J.
\yr 2021
\vol 7
\issue 1
\pages 109--119
\mathnet{http://mi.mathnet.ru/umj142}
\crossref{https://doi.org/10.15826/umj.2021.1.010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR4301218}
\zmath{https://zbmath.org/?q=an:07407687}
\elib{https://elibrary.ru/item.asp?id=46381219}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85112008396}
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