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- W2028842617 abstract "Let K be a nonempty closed and convex subset of a real reflexive Banach space X that has weakly sequentially continuous duality mapping J. Let T: K → K be a multivalued non-expansive non-self-mapping satisfying the weakly inwardness condition as well as the condition T(y) = {y} for any y ∈ F(T) and such that for a contraction f: K → K and any t ∈ (0, 1), there exists x t ∈ K satisfying x t ∈ tf(x t ) + (1 − t)Tx t . Then it is proved that {x t } ⊂ K converges strongly to a fixed point of T, which is also a solution of certain variational inequality. Moreover, the convergence of two explicit methods are also investigated." @default.
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- W2028842617 date "2012-11-01" @default.
- W2028842617 modified "2023-09-23" @default.
- W2028842617 title "Viscosity Approximation Methods for Multivalued Mappings in Banach Spaces" @default.
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- W2028842617 doi "https://doi.org/10.1080/01630563.2012.693810" @default.
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