Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces

Liu, Lishan; Liu, C.; Wang, F.; Wu, Yong Hong

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Authors

Liu, Lishan

Liu, C.

Wang, F.

Wu, Yong Hong

Date

2016

Type

Journal Article

Metadata

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Citation

Liu, L. and Liu, C. and Wang, F. and Wu, Y.H. 2016. Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces. Journal of Nonlinear Science and Applications. 9 (10): pp. 5695-5711.

Source Title

Journal of Nonlinear Science and Applications

ISSN

2008-1898

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52506

Collection

Curtin Research Publications

Abstract

© 2016 All rights reserved.In this paper, we study a general iterative process strongly converging to a common fixed point of an asymptotically nonexpansive semigroup {T(t): t ? R+} in the framework of re exive and strictly convex spaces with a uniformly Gáteaux differentiable norm. The process also solves some variational inequalities. Our results generalize and extend many existing results in the research field.