A New Two-Step Iterative Process with Errors for Common Fixed Points in Banach Spaces

Esref Turkmen, Murat Ozdemir, Sezgin Akbulut


In this paper, a new two-step iterative scheme with errors is introduced for two asymptotically nonexpansive nonself-mappings. Several convergence theorems are established in real Banach spaces and real uniformly convex Banach spaces. Our theorems improve and extend the results due to Agarwal-O'Regan-Sahu [R.P. Agarwal, Donal O'Regan and D.R. Sahu, Iterative construction of fixed points of nearly asymptotically nonexpansive mappings, J.Nonliear Convex. Anal.8(1)(2007) 61--79] and many other papers.


Nonself asymptotically nonexpansive mapping; Strong and weak convergence; Common fixed point.

Full Text: