Universal Journal of Mathematics and Mathematical Sciences
Volume 4, [Proceedings of International Conference: Mathematical Science and Applications, December 26-30, 2012, Abu Dhabi, UAE] Issue 1, Pages 173 - 188
(July 2013)
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MINIMIZATION OVER FIXED POINTS SETS
Khadra Nachi
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Abstract: In this paper, we consider a variational inequality problem where F, T are mappings from a real Hilbert space into itself and Fix T is the fixed points set of a demicontractive mapping T. We propose an iterative algorithm given as:
to find approximate solutions. Under some assumptions on F, T, w and we establish the strong convergence of the sequence generated by this schema to the solution of An application to convex minimization is provided. |
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