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Generalized I-nonexpansive selfmaps and invariant approximations

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Abstract

Common fixed point results for new classes of noncommuting selfmaps satisfying generalized I-contraction or I-nonexpansive type conditions are established. We apply them to obtain several invariant approximation results which unify, extend, and complement the well-known results.

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Authors and Affiliations

  1. Department of Mathematics, King AbdulAziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    M. A. Al-Thagafi & Naseer Shahzad

Authors
  1. M. A. Al-Thagafi
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  2. Naseer Shahzad
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Correspondence to M. A. Al-Thagafi.

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Al-Thagafi, M.A., Shahzad, N. Generalized I-nonexpansive selfmaps and invariant approximations. Acta. Math. Sin.-English Ser. 24, 867–876 (2008). https://doi.org/10.1007/s10114-007-5598-x

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  • DOI: https://doi.org/10.1007/s10114-007-5598-x

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