Geodesic
Viscosity approximation methods for hierarchical optimization problems of multivalued nonexpansive mappings in CAT(0) spaces
Zhu, Jinhua1 ; Chang, Shih-Sen2 ; Liu, Min1
1 College of Mathematics, Yibin University, Yibin, Sichuan, 644007, China
2 Center for General Education, China Medical University, Taichung, 40402, Taiwan
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5521-5535.

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

The purpose of this paper is to prove some strong convergence theorems for hierarchical optimization problems of multivalued nonexpansive mappings in CAT(0) spaces by using the viscosity approximation method. Our results generalize the results of [X.-D. Liu, S.-S. Chang, J. Inequal. Appl., 2013 (2013), 14 pages], [R. Wangkeeree, P. Preechasilp, J. Inequal. Appl., 2013 (2013), 15 pages], and many others. Some related results in R-trees are also given.
DOI : 10.22436/jnsa.009.10.03
Classification : 47J25, 47H09, 47H05
Keywords: Viscosity approximation method, fixed point, variational inequality, hierarchical optimization problems, multivalued nonexpansive mapping, CAT(0) space.

Zhu, Jinhua 1 ; Chang, Shih-Sen 2 ; Liu, Min 1

1 College of Mathematics, Yibin University, Yibin, Sichuan, 644007, China
2 Center for General Education, China Medical University, Taichung, 40402, Taiwan 
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Zhu, Jinhua; Chang, Shih-Sen; Liu, Min. Viscosity approximation methods for hierarchical optimization problems of multivalued nonexpansive mappings in CAT(0) spaces. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5521-5535. doi : 10.22436/jnsa.009.10.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.10.03/

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