Journal article

Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense


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Author list: H. Zegeye, M. Robdera, and B. Choudary

Publisher: Elsevier Ltd.

Publication year: 2011

Journal: Computers and Mathematics with Applications

Journal acronym: CMA

Volume number: 62

Issue number: 1

Start page: 326

End page: 332

Number of pages: 7

ISSN: 0898-1221

eISSN: 1873-7668

URL: https://www.sciencedirect.com/science/article/pii/S0898122111004019



In this paper, we prove a strong convergence of Ishikawa scheme to a uniformly ��-Lipschitzian and asymptotically pseudocontractive mappings in the intermediate sense. No compactness assumption is imposed either on �� or ��, and computation of intersection of closed convex sets ���� and ���� for each ��≥1 is not required. We also obtain convergence results in this direction for asymptotically strict pseudocontractive mappings in the intermediate sense. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Keywords: Asymptotically nonexpansive mappings; Asymptotically pseudocontractive mappings; Strictly pseudocontractive mappings


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Last updated on 2024-16-09 at 13:54