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Abstrakty
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.
Wydawca
Czasopismo
Rocznik
Tom
Strony
95--111
Opis fizyczny
Bibliogr. 52 poz.
Twórcy
autor
- School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
autor
- 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
- School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
autor
- School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
Bibliografia
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- [15] L. O. Jolaoso, A. Taiwo, T. O. Alakoya, and O. T. Mewomo, A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem, Comput. Appl. Math. 39(2020), 38, DOI: 10.1007/s40314-019-1014-2.
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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).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5f9e7ac3-ca21-4ca1-bd48-e24ea463244e