Title of article :
A New Two-Step Iterative Process with Errors for Common Fixed Points in Banach Spaces
Author/Authors :
Turkmen, Esref Ataturk University - Faculty of Science - Department of Mathematics, Turkey , Ozdemir, Murat Ataturk University - Faculty of Science - Department of Mathematics, Turkey , Akbulut, Sezgin Ataturk University - Faculty of Science - Department of Mathematics, Turkey
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
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
