IJPAM: Volume 78, No. 3 (2012)
PROCESS WITH ERRORS FOR COMMON FIXED POINTS
OF A FINITE FAMILY OF ASYMPTOTICALLY
DEMICONTRAC-TIVE MAPS IN
ARBITRARY REAL BANACH SPACES
Department of Mathematics and Statistics
University of Uyo
P.M. B 1017, Uyo, NIGERIA
Abstract. In this paper, the implicit and explicit iteration process with errors recently introduced by Gu (An. St. Univ. Ovidius Constanta 18(1), 2010, 139-154) has been used to approximate the common fixed points of a finite family of asymptotically demicontractive maps in arbitrary real Banach spaces. These results extend, generalize and complement the results of Gu , Su and Li , Jim , Igbokwe and Jim  and extend several others from the class of asymptotically demicontractive maps to the more general class of asymptotically demicontractive maps (see for example ,  and ).
Received: December 12, 2011
AMS Subject Classification: 47H10, 37C25, 55M20
Key Words and Phrases: asymptotically demicontractive, composite implicit iteration, fixed point, uniformly Lipschitzian, Banach spaces
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395