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

• Autorzy: Thierno Sow
• 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 \(l_4\) 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: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2019
• Tom: 59
• Numer: 1-2

Daty

wydano

2019

online

2020-02-13

Twórcy

autor

Thierno Sow

Identyfikatory

DOI

10.14708/cm.v59i1-2.6518