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Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
Authors:Hafiz Fukhar-ud-din
Institution:a Department of Mathematics, Islamia University, Bahawalpur, Pakistan
b Department of Mathematics and Physics, Faculty of Arts and Science, Qatar University, Doha 2713, Qatar
Abstract:In this paper, we consider a generalized iterative process with errors to approximate the common fixed points of two asymptotically quasi-nonexpansive mappings. A convergence theorem has been obtained which generalizes a known result. This theorem has then been used to prove another convergence theorem which, in turn, generalizes a number of results.
Keywords:Iterates with errors  Asymptotically quasi-nonexpansive mapping  Common fixed point  Condition (_method=retrieve&  _eid=1-s2  0-S0022247X06005890&  _mathId=si1  gif&  _pii=S0022247X06005890&  _issn=0022247X&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=c0d44671205ea034ee3a02b23b166ef8')" style="cursor:pointer  A&prime" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">A&prime  )  Strong convergence
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