On the proximal point algorithm and demimetric mappings in CAT (0) spaces

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Abstract: In this paper, we introduce and study the class of demimetric mappings in CAT (0) spaces.We then propose a modified proximal point algorithm for approximating a common solution of a finite family of minimization problems and fixed point problems in CAT (0) spaces. Furthermore,we establish strong convergence of the proposed algorithm to a common solution of a finite family of minimization problems and fixed point problems for a finite family of demimetric mappings in complete CAT (0) spaces. A numerical example which illustrates the applicability of our proposed algorithm is also given. Our results improve and extend some recent results in the literature.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On the proximal point algorithm and demimetric mappings in CAT (0) spaces ; volume:51 ; number:1 ; year:2018 ; pages:277-294 ; extent:18
Demonstratio mathematica ; 51, Heft 1 (2018), 277-294 (gesamt 18)

Creator: Aremu, Kazeem O.
Izuchukwu, Chinedu
Ugwunnadi, Godwin C.
Mewomo, Oluwatosin T.

DOI: 10.1515/dema-2018-0022

URN: urn:nbn:de:101:1-2411181510373.858686444003

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:35 AM CEST

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Aremu, Kazeem O.
Izuchukwu, Chinedu
Ugwunnadi, Godwin C.
Mewomo, Oluwatosin T.

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On the proximal point algorithm and demimetric mappings in CAT (0) spaces

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