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Research Article Open access CC BY 2.0

Strong Convergence Theorems for Asymptotically Pseudocontractive Mappings in the Intermediate Sense

J. O. Olaleru, G. A. Okeke

Journal of Advances in Mathematics and Computer Science · pp. 151–162 · Published 13 Oct 2012

10.9734/BJMCS/2012/1569

Abstract

In this study, we prove a strong convergence of Noor type scheme for a uniformly L-Lipschitzian and asymptotically pseudocontractive mappings in the intermediate sense without assuming any form of compactness. Consequently, we also obtain a convergence result for the class of asymptotically strict pseudocontractive mappings in the intermediate sense. Our results are improvements and extensions of some of the results in literature.

Strong convergence asymptotically nonexpansive mappings asymptotically pseudocontractive mappings in the intermediate sense asymptotically strict pseudocontractive mappings in the intermediate sense

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