Bull. Korean Math. Soc. 2014; 51(3): 773-788
Printed May 31, 2014
https://doi.org/10.4134/BKMS.2014.51.3.773
Copyright © The Korean Mathematical Society.
N. Shahzad and H. Zegeye
King Abdulaziz University, University of Botswana
We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.
Keywords: monotone mappings, relatively nonexpansive mappings, strong convergence, variational inequality problems
MSC numbers: 47H05, 47H09, 47H10, 47J05, 47J25
2014; 51(3): 621-640
2013; 50(2): 375-388
2008; 45(4): 717-728
2011; 48(3): 575-584
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