Back to Search
Start Over
Asymptotically strict pseudocontractive mappings in the intermediate sense
- Source :
- Nonlinear Analysis: Theory, Methods & Applications. 70:3502-3511
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- It is proved that the modified Mann iteration process: x n + 1 = ( 1 − α n ) x n + α n T n x n , n ∈ N , where { α n } is a sequence in (0, 1) with δ ≤ α n ≤ 1 − κ − δ for some δ ∈ ( 0 , 1 ) , converges weakly to a fixed point of an asymptotically κ -strict pseudocontractive mapping T in the intermediate sense which is not necessarily Lipschitzian. We also develop CQ method for this modified Mann iteration process which generates a strongly convergent sequence.
Details
- ISSN :
- 0362546X
- Volume :
- 70
- Database :
- OpenAIRE
- Journal :
- Nonlinear Analysis: Theory, Methods & Applications
- Accession number :
- edsair.doi...........9c01a041b420b62ae2fb0a59eee0a4ba
- Full Text :
- https://doi.org/10.1016/j.na.2008.07.007