Convergence and stability of some iterative processes for a class of quasinonexpansive type mappings

Ariza-Ruiz, David¹

¹ Department of Mathematical Analysis, University of Seville, Apdo,1160, 41080-Seville, Spain

Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 2, p. 93-103.

Résumé

Motivated by Dotson's example we consider a certain class of mappings which includes the classes of mappings studied by Zamfirescu, Ćirić, Berinde and others. We prove several new results about convergence of distinct iterative processes in convex metric spaces. Furthermore, we study the stability for this class of mappings in the setting of metric spaces.

Détail

DOI : 10.22436/jnsa.005.02.03

Classification : 47H09, 47H10, 54E50, 54H25
Keywords: Convex metric spaces, Contractive conditions, quasinonexpansive maps, Convergence, Iterative processes, almost T-stability.

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