Weak convergence theorems for two asymptotically quasi-nonexpansive non-self mappings in uniformly convex Banach spaces

Saluja, G. S.¹

¹ Department of Mathematics and I.T., Govt. N.P.G. College of Science, Raipur (C.G.), India

Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 2, p. 138-149.

Résumé

The purpose of this paper is to establish some weak convergence theorems of modified two-step iteration process with errors for two asymptotically quasi-nonexpansive non-self mappings in the setting of real uniformly convex Banach spaces if E satisfies Opial's condition or the dual $E^*$ of $E$ has the Kedec-Klee property. Our results extend and improve some known corresponding results from the existing literature.

Détail

DOI : 10.22436/jnsa.007.02.08

Classification : 47H09, 47H10, 47J25
Keywords: Asymptotically quasi-nonexpansive non-self mappings, common fixed point, the modified two-step iteration process with errors for non-self maps, uniformly convex Banach space, weak convergence.

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