Strong Convergence Theorems for the Generalized Viscosity Implicit Rules of Asymptotically Nonexpansive Mappings in the Intermediate Sense in Hilbert Spaces |
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Authors: | Qian Yan |
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Institution: | College of Mathematics, Sichuan University, Sichuan, China |
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Abstract: | AbstractThe aim of this paper is to introduce the generalized viscosity implicit rules of one asymptotically nonexpansive mapping in the intermediate sense in Hilbert spaces. We obtain some strong convergence theorems under certain assumptions imposed on the parameters. We also give a numerical example to support our main results. The results obtained in this paper improve and extend many recent ones in this culture. |
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Keywords: | Asymptotically nonexpansive mapping in the intermediate sense fixed point generalized implicit rule Hilbert spaces |
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