Theoretical Mathematics & Applications

Some iteration methods for common fixed points of a finite family of strictly pseudocontractive mappings

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• Abstract

  In this paper, we introduce new implicit and explicit iteration methods based on the Krasnoselskii-Mann iteration method and a contraction for finding a common fixed point of a finite family of strictly pseudocontractive self-mappings of a closed convex subset in real Hilbert spaces. An extension to the problem of convex optimization is showed.