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

Esref Turkmen, Murat Ozdemir, Sezgin Akbulut

Abstract


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.

Keywords


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

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