eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2010 22 2 481 486 jusps-A 996 article Convergence theorem for I -asymptotically quasi-nonexpansive mapping D.P. Shukla (shukladpmp@gmail.com) 1 Vijay Kumar Khare 2 Archana Singh 1 Department of Mathematics/Computer Science, Govt. P.G. Science Cllege, Rewa (M.P.) 486001 (INDIA) Govt. (P.G.) Home Science College, Jabalpur (M.P.) INDIA <p>In this paper, we define the I-asymptotically quasi-nonexpansive mapping in Hilbert space. If T is an I-asymptotically quasi-nonexpansive mapping, then we prove that , for u &Icirc; K as n &reg; &yen;, is weakly almost convergent to its asymptotic center.</p> <p>&nbsp;</p> https://www.ultrascientist.org/paper/996/ Asymptotic center I-asymptotically quasi-nonexpansive mapping Nonlinear ergodic theorems weakly almost convergent.