Geodesic
General iterative method for solving fixed point problems involving a finite family of demicontractive mappings in Banach spaces
Commentationes Mathematicae, Tome 59 (2019) no. 1-2, p. 63−80.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/cm.v59i1-2.6518
Classification : 47H06, 65K05
Mots-clés : General iterative method, demicontractive mappings, common fixed points, accretive operators, geometric properties of Banach spaces 
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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, Tome 59 (2019) no. 1-2, p.  63−80. doi : 10.14708/cm.v59i1-2.6518. http://geodesic.mathdoc.fr/articles/10.14708/cm.v59i1-2.6518/

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