A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings

• Autorzy: Wega Getahun B. , Zegeye Habtu , Boikanyo Oganeditse A.

Identyfikatory

DOI

10.1515/dema-2020-0010

• Języki publikacji: EN

Abstrakty

EN

The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems and provide a numerical example which supports our main result. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Słowa kluczowe

EN

firmly nonexpansive; Hilbert spaces; maximally monotone mapping; strong convergence; zero point

PL

przestrzeń Hilberta; odwzorowanie; silna zbieżność; punkt zerowy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 152--166
• Opis fizyczny: Bibliogr. 35 poz., tab.

Twórcy

autor

Wega Getahun B.

• Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Pvt. Bag 0016, Palapye, Botswana

autor

Zegeye Habtu

• Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Pvt. Bag 0016, Palapye, Botswana

autor

Boikanyo Oganeditse A.

• Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Pvt. Bag 0016, Palapye, Botswana

Bibliografia

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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).