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JP Journal of Fixed Point Theory and Applications

Abstract:
Let C be a closed convex subset of a Hilbert space H. Let f be a contraction on C. Let S be a nonexpansive mapping of C into itself and A be an a-inverse-strongly monotone mapping of C into H. Assuming that

and

in this paper we introduce the iterative process

where

We prove that

and

converge strongly to the same point

As its application, we give a strong convergence theorem for nonexpansive mapping and strictly pseudo-contractive mapping in a Hilbert space.

Keywords and phrases: viscosity approximation, strong convergence, inverse-strongly monotone mapping, nonexpansive mapping, variational inequality.

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P-ISSN: 0973-4228

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