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
From page
3
To page
19
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
Record number
2551951
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