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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.
Approximation methods for a common minimum-norm point of a solution of variational inequality and fixed point problems in Banach spaces
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
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