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Approximation of minimum-norm fixed point of total asymptotically nonexpansive mapping

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Abstract

In this paper, strong convergence theorem for approximation of minimum norm fixed point of total asymptotically nonexpansive mapping in real Hilbert spaces are obtained. As applications, iterative methods for approximation of minimum norm fixed point of continuous pseudocontractive mapping, approximation of solutions of classical equilibrium problems and approximation of solutions of convex minimization problems are proposed. Furthermore, iterative method for approximation of of common minimum norm fixed point of finite family of total asymptotically nonexpansive mapping is proposed. Our theorems unify and complement many recently annouced results.

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Authors and Affiliations

  1. Department of Mathematics, Nnamdi Azikiwe University, P.M.B. 5025, Awka, Anambra State, Nigeria

    E. U. Ofoedu & A. C. Nnubia

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  1. E. U. Ofoedu
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  2. A. C. Nnubia
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Correspondence to E. U. Ofoedu.

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Ofoedu, E.U., Nnubia, A.C. Approximation of minimum-norm fixed point of total asymptotically nonexpansive mapping. Afr. Mat. 26, 699–715 (2015). https://doi.org/10.1007/s13370-014-0240-4

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