Abstract
This paper is concerned with a new method to prove the weak convergence of a strictly pseudo-contractive mapping in a p-uniformly convex Banach space with more relaxed restrictions on the parameters. Our results extend and improve the corresponding earlier results. MSC:41A65, 47H17, 47J20.
Highlights
Introduction and preliminariesIn, Browder and Petryshyn [ ] gave the classical definition for strictly pseudocontractive mappings in Hilbert spaces for the first time.Definition
Lemma. Let C be a nonempty closed convex subset of a p-uniformly convex Banach space X which satisfies the Opial condition and T : C → C be a quasi-nonexpansive mapping with F(T) = ∅
Author details 1Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, China. 2Department of Mathematics and Information, Hebei Normal University, Shijiazhuang, 050016, China
Summary
Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces. Yu Zhou1*, Haiyun Zhou[1,2] and Peiyuan Wang[1] Dedicated to the 80th birthday of Professor Shih-Sen Chang
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