Viscosity approximation methods for hierarchical optimization problems of multivalued nonexpansive mappings in CAT(0) spaces


Authors

Jinhua Zhu - College of Mathematics, Yibin University, Yibin, Sichuan, 644007, China. Shih-Sen Chang - Center for General Education, China Medical University, Taichung, 40402, Taiwan. Min Liu - College of Mathematics, Yibin University, Yibin, Sichuan, 644007, China.


Abstract

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.


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ISRP Style

Jinhua Zhu, Shih-Sen Chang, Min Liu, Viscosity approximation methods for hierarchical optimization problems of multivalued nonexpansive mappings in CAT(0) spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 10, 5521--5535

AMA Style

Zhu Jinhua, Chang Shih-Sen, Liu Min, Viscosity approximation methods for hierarchical optimization problems of multivalued nonexpansive mappings in CAT(0) spaces. J. Nonlinear Sci. Appl. (2016); 9(10):5521--5535

Chicago/Turabian Style

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 Applications, 9, no. 10 (2016): 5521--5535


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