On θ-generalized demimetric mappings and monotone operators in Hadamard spaces

• Autorzy: Ogwo Grace N. , Izuchukwu Chinedu , Aremu Kazeem O. , Mewomo Oluwatosin T.

Identyfikatory

DOI

10.1515/dema-2020-0006

• Języki publikacji: EN

Abstrakty

EN

Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is proposed, and we prove that it converges strongly to a fixed point of a θ-generalized demimetric mapping and a common zero of a finite family of monotone operators in a Hadamard space. Furthermore, we apply the obtained results to solve a finite family of convex minimization problems, variational inequality problems and convex feasibility problems in Hadamard spaces.

Słowa kluczowe

EN

θ-generalized demimetric mappings; demimetric mappings; monotone operators; monotone inclusion problems; Hadamard spaces

PL

operator monotoniczny; odwzorowania; przestrzenie Hadamarda

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 95--111
• Opis fizyczny: Bibliogr. 52 poz.

Twórcy

autor

Ogwo Grace N.

• School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

autor

Izuchukwu Chinedu

• School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
• DSI-NRF Center of Excellence in Mathematical and Statistical Sciences(CoE-MaSS), Johannesburg,South Afric

autor

Aremu Kazeem O.

• School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

autor

Mewomo Oluwatosin T.

• School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).