Title of article :
An affirmative answer to Panyanak and Suantai s open question on the viscosity approximation methods for a nonexpansive multivalued mapping in CAT(0) spaces
Author/Authors :
Chang ، Shih-Sen - China Medical University , Wang ، Lin - Yunnan University of Finance and Economics , Yao ، Jen-Chih - China Medical University , Yang ، Li - South West University of Science and Technology
Pages :
8
From page :
2719
To page :
2726
Abstract :
An affirmative answer to the open question raised by Panyanak and Suantai [B. Panyanak, S. Suantai, Fixed Point Theory Appl., 2015 (2015), 14 pages] is given. Our results also generalize the results of Panyanak and Suantai [B. Panyanak, S. Suantai, Fixed Point Theory Appl., 2015 (2015), 14 pages], Wangkeeree and Preechasilp [R. Wangkeeree, P. Preechasilp, J. Inequal. Appl., 2013 (2013), 15 pages], Dhompongsa et al. [S. Dhompongsa, A. Kaewkhao, B. Panyanak, Nonlinear Anal., 75 (2012), 459 ndash;468], and many others. Some related results in Rtrees are also proved.
Keywords :
Viscosity approximation method , fixed point , strong convergence , multivalued nonexpansive mapping , CAT(0) space.
Journal title :
Journal of Nonlinear Science and Applications
Serial Year :
2017
Journal title :
Journal of Nonlinear Science and Applications
Record number :
2476590
Link To Document :
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