On the split equality common fixed point problem for quasi-nonexpansive multi-valued mappings in Banach spaces
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2007
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Authors
Xuejin Tian
- College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, P. R. China.
Lin Wang
- College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, P. R. China.
Zhaoli Ma
- Department of General Education, The College of Arts and Sciences Yunnan Normal University, Kunming, Yunnan, 650222, P. R. China.
Abstract
The purpose of this paper is to study the split equality common fixed point problems of quasi-nonexpansive multi-valued mappings in the setting of Banach spaces. For solving this kind of problems, some new
iterative algorithms are proposed. Under suitable conditions, some weak and strong convergence theorems
for the sequences generated by the proposed algorithm are proved. The results presented in this paper are
new which also improve and extend some recent results announced by some authors.
Share and Cite
ISRP Style
Xuejin Tian, Lin Wang, Zhaoli Ma, On the split equality common fixed point problem for quasi-nonexpansive multi-valued mappings in Banach spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 10, 5536--5543
AMA Style
Tian Xuejin, Wang Lin, Ma Zhaoli, On the split equality common fixed point problem for quasi-nonexpansive multi-valued mappings in Banach spaces. J. Nonlinear Sci. Appl. (2016); 9(10):5536--5543
Chicago/Turabian Style
Tian, Xuejin, Wang, Lin, Ma, Zhaoli. "On the split equality common fixed point problem for quasi-nonexpansive multi-valued mappings in Banach spaces." Journal of Nonlinear Sciences and Applications, 9, no. 10 (2016): 5536--5543
Keywords
- Split equality problem
- quasi-nonexpansive multi-valued mapping
- weak convergence
- strong convergence.
MSC
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