dc.contributor.author | Okereke, Lois Chinwendu | |
dc.date.accessioned | 2020-01-27T09:15:47Z | |
dc.date.available | 2020-01-27T09:15:47Z | |
dc.date.issued | 2017-12-18 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/4944 | |
dc.description.abstract | In this thesis, a hybrid extragradient-like iteration algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map and common fixed points of a countable family of relatively nonexpansive maps in a uniformly smooth and 2-uniformly convex real Banach space is introduced. A strong convergence theorem for the sequence generated by this algorithm is proved. The theorem obtained is a significant improvement of the results of Ceng et al. (J. Glob. Optim. 46(2010), 635-646). Finally, some applications of the theorem are presented. | en_US |
dc.description.sponsorship | AUST and AfDB. | en_US |
dc.language.iso | en | en_US |
dc.subject | Okereke Lois Chinwendu | en_US |
dc.subject | Prof. Charles Ejikeme Chidume | en_US |
dc.subject | Relatively nonexpansive maps | en_US |
dc.subject | monotone maps | en_US |
dc.subject | Lipschitz continuous maps | en_US |
dc.subject | gener- alized projection | en_US |
dc.subject | variational inequality problem | en_US |
dc.subject | fixed point problem hybrid extragradient-like approximation method | en_US |
dc.title | A Hybrid Algorithm for Approximating a Common Element of Solutions of a Variational Inequality Problem and a Convex Feasibility Problem | en_US |
dc.type | Thesis | en_US |