Geodesic
On strong and $\Delta$-convergence of modified S-iteration for uniformly continuous total asymptotically nonexpansive mappings in $CAT(\kappa)$ spaces
Saipara, Plern1 ; Chaipunya, Parin2 ; Cho, Yeol Je3 ; Kumam, Poom4
1 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
2 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
3 Department of Mathematics Education, Gyeongsang Natoinal University, Jinju 660-701, Korea
4 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;Theoretical and Computational Science (TaCS) Center, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 6, p. 965-975.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we obtain strong and $\Delta$-convergence theorems of modified S-iteration for total asymptotically nonexpansive mappings in $CAT(\kappa)$ spaces with $\kappa > 0$. Our results extend and improve the corresponding recent results announced by Panyanak [B. Panyanak, J. Inequal. Appl., 2014 (2014), 13 pages] and many authors.
DOI : 10.22436/jnsa.008.06.07
Classification : 47H10, 54H25
Keywords: fixed point, total asymptotically nonexpansive mapping, \(\Delta\)- convergence, \(CAT(\kappa)\) space, S-iteration.

Saipara, Plern 1 ; Chaipunya, Parin 2 ; Cho, Yeol Je 3 ; Kumam, Poom 4

1 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
2 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
3 Department of Mathematics Education, Gyeongsang Natoinal University, Jinju 660-701, Korea
4 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;Theoretical and Computational Science (TaCS) Center, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand 
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Saipara, Plern; Chaipunya, Parin; Cho, Yeol Je; Kumam, Poom. On strong and \(\Delta\)-convergence of modified S-iteration for uniformly continuous total asymptotically nonexpansive mappings in \(CAT(\kappa)\) spaces. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 6, p. 965-975. doi : 10.22436/jnsa.008.06.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.06.07/

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