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On synchronal algorithm for fixed point and variational inequality problems in hilbert spaces


Citation

Mohammed, Lawan Bulama and Kilicman, Adem (2016) On synchronal algorithm for fixed point and variational inequality problems in hilbert spaces. SpringerPlus, 5 (1). art. no. 103. pp. 1-13. ISSN 2193-1801

Abstract

The aim of this article is to expand and generalize some approximation methods proposed by Tian and Di (J Fixed Point Appl, 2011. doi:10.​1186/​1687-1812-21) to the class of (k,{μn},{ξn},ϕ)-total asymptotically strict pseudocontraction to solve the fixed point problem as well as variational inequality problem in the frame work of Hilbert space. Further, the results presented in this paper extend, improve and also generalize several known results in the literature.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1186/s40064-016-1723-6
Publisher: SpringerOpen
Keywords: Fixed point and variational inequality problem; K-strict pseudo-contraction; Nonexpansive mapping; Synchronal algorithm; Total strict asymptotically pseudocontraction
Depositing User: Nabilah Mustapa
Date Deposited: 18 May 2016 02:52
Last Modified: 18 May 2016 02:52
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s40064-016-1723-6
URI: http://psasir.upm.edu.my/id/eprint/43152
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