A new iterative scheme in CAT(0) spaces with convergence analysis

Volume 10, Issue 12, pp 6298--6310 http://dx.doi.org/10.22436/jnsa.010.12.14

Publication Date: December 13, 2017 Submission Date: September 07, 2017

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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.

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Keywords

• Total asymptotically nonexpansive non-self-mapping
• new two-step iterative scheme
• common fixed point
• strong convergence
• \(\Delta\)-convergence
• CAT\((0)\) space

MSC

•  47H10
•  47J25

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