Geodesic
Strong convergence theorem for semigroup of asymptotically nonexpansive mappings using viscosity approximation
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 141 .

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Viscosity method also called elliptic regularization, provide an efficient approach to a large number of problems coming from different branches of mathematical and physical sciences. One of the recent trend in the iterative construction of fixed point of nonlinear mappings is to use viscosity approximation method. In this paper we propose implicit and explicit viscosity method (VAM) for strongly continuous semigroup of asymptotically nonexpansive mappings and prove strong convergence of proposed VAM which converges strongly to a solution of a variational inequality.
Classification : 47H09 47H10 47H20
Keywords: Viscosity approximation, semigroup of asymptotically nonexpansive mappings, iterative approximation. 
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     author = {Balwant Singh Thakur},
     title = {Strong convergence theorem for semigroup of asymptotically nonexpansive mappings using viscosity approximation},
     journal = {Kragujevac Journal of Mathematics},
     pages = {141 },
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a10/}
}
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Balwant Singh Thakur. Strong convergence theorem for semigroup of asymptotically nonexpansive mappings using viscosity approximation. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 141 . http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a10/