A new iterative scheme in CAT(0) spaces with convergence analysis
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Authors
G. S. Saluja
- Department of Mathematics, Govt. Kaktiya P. G. College, Jagdalpur, Jagdalpur - 494001 (C.G.) , India.
Adrian Ghiura
- University Politehnica of Bucharest, Bucharest, Romania.
Mihai Postolache
- China Medical University, Taichung, Taiwan.
- University Politehnica of Bucharest, Bucharest, Romania.
Abstract
In this paper, we establish strong and \(\Delta\)-convergence theorems
in CAT\((0)\) spaces for two total asymptotically nonexpansive non-self
mappings via a new two-step iterative scheme for non-self-mappings.
Our results extend and generalize several results from the current
existing literature.
Share and Cite
ISRP Style
G. S. Saluja, Adrian Ghiura, Mihai Postolache, A new iterative scheme in CAT(0) spaces with convergence analysis, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 12, 6298--6310
AMA Style
Saluja G. S., Ghiura Adrian, Postolache Mihai, A new iterative scheme in CAT(0) spaces with convergence analysis. J. Nonlinear Sci. Appl. (2017); 10(12):6298--6310
Chicago/Turabian Style
Saluja, G. S., Ghiura, Adrian, Postolache, Mihai. "A new iterative scheme in CAT(0) spaces with convergence analysis." Journal of Nonlinear Sciences and Applications, 10, no. 12 (2017): 6298--6310
Keywords
- Total asymptotically nonexpansive non-self-mapping
- new two-step iterative scheme
- common fixed point
- strong convergence
- \(\Delta\)-convergence
- CAT\((0)\) space
MSC
References
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