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A STRONG CONVERGENCE THEOREM BY THE HYBRID METHOD FOR FINITE FAMILIES OF NONLINEAR AND NONSELF MAPPINGS IN A HILBERT SPACE
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A STRONG CONVERGENCE THEOREM BY THE HYBRID METHOD FOR FINITE FAMILIES OF NONLINEAR AND NONSELF MAPPINGS IN A HILBERT SPACE

Saud M. Alsulami and Wataru Takahashi
Journal of nonlinear and convex analysis, Vol.17(12), pp.2511-2527
01/01/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, using the hybrid method, we prove a strong convergence theorem for finding a common element of the set of common fixed points of a finite family of nonlinear nonself mappings and the set of common zero points of a finite family of maximal and inverse strongly monotone mappings in a Hilbert space. Using the result, we obtain well-known and new strong convergence theorems in a Hilbert space.

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