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

Thierno Sow

Commentationes Mathematicae (2019)

  • Volume: 59, Issue: 1-2
  • ISSN: 2080-1211

Abstract

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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.

How to cite

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Thierno Sow. "General iterative method for solving fixed point problems involving a finite family of demicontractive mappings in Banach spaces." Commentationes Mathematicae 59.1-2 (2019): null. <http://eudml.org/doc/295235>.

@article{ThiernoSow2019,
abstract = {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.},
author = {Thierno Sow},
journal = {Commentationes Mathematicae},
keywords = {General iterative method; demicontractive mappings; common fixed points; accretive operators; geometric properties of Banach spaces},
language = {eng},
number = {1-2},
pages = {null},
title = {General iterative method for solving fixed point problems involving a finite family of demicontractive mappings in Banach spaces},
url = {http://eudml.org/doc/295235},
volume = {59},
year = {2019},
}

TY - JOUR
AU - Thierno Sow
TI - General iterative method for solving fixed point problems involving a finite family of demicontractive mappings in Banach spaces
JO - Commentationes Mathematicae
PY - 2019
VL - 59
IS - 1-2
SP - null
AB - 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.
LA - eng
KW - General iterative method; demicontractive mappings; common fixed points; accretive operators; geometric properties of Banach spaces
UR - http://eudml.org/doc/295235
ER -

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