General iterative method for solving fixed point problems involving a finite family of demicontractive mappings in Banach spaces

• Autorzy: Sow Thierno M. M.

Identyfikatory

DOI

10.14708/cm.v1-2i59.6518

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to study the general iterative method for demicontractive mappings in Banach spaces. The method gives us a strong convergence iteration for a finite family of demicontractive mappings and also permits us to solve variational inequality problems involving accretive operators without any compactness condition. Finally, we provide some applications, and an illustration of the proposed method is given in l₄ spaces. Our results improve many recent results using the general iterative method for finding the fixed points of nonlinear operators.

Słowa kluczowe

EN

general iterative method; demicontractive mappings; common fixed points; accretive operators; geometric properties of Banach spaces

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2019
• Tom: Vol. 59, No. 1/2
• Strony: 63--80
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Sow Thierno M. M.

• Department of Mathematics, Gaston Berger University, Saint Louis, Senegal

Bibliografia

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Uwagi

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