Using δ-strongly accretive and λ-strictly pseudocontractive mapping, we introduce a general iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, with respect to a sequence of left regular means defined on an appropriate space of bounded real-valued functions of the semigroup. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality.
Letestablished under which the operator preserves an almost spirallike mapping of type β and order α and spirallike mapping of type β and order α , respectively. In particular, our results reduce to many well-known results.Keywords: Roper-Suffridge extension operator, Reinhardt Domain, Almost spirallike mapping of type β and order α , Spirallike mapping of type β and order α , Minkowski functional.
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