A COMPOSITE EXPLICIT ITERATIVE PROCESS WITH A VISCOSITY METHOD FOR LIPSCHITZIAN SEMIGROUP IN A SMOOTH BANACH SPACE

Phayap Katchang, Poom Kumam · 2011

Abstract. We introduce a new explicit composite iteration scheme with a viscosity iteration method for approximating a common fixed point of Lipschitzian semigroup on a compact convex subset of a smooth Banach space. We show that the iterative sequence con-verges strongly to a common fixed point under some parameter controlling conditions. Our results extend and improve the recent

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