Fixed point theorems for (L)-type mappings in complete CAT(0) spaces
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Authors
Jing Zhou
- Department of Mathematics, Harbin Institute of Technology, Harbin 150080, P. R. China.
Yunan Cui
- Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China.
Abstract
In this paper, fixed point properties for a class of more generalized nonexpansive mappings called (L)-type mappings are
studied in geodesic spaces. Existence of fixed point theorem, demiclosed principle, common fixed point theorem of single-valued
and set-valued are obtained in the third section. Moreover, in the last section, \(\Delta\)-convergence and strong convergence theorems
for (L)-type mappings are proved. Our results extend the fixed point results of Suzuki’s results in 2008 and Llorens-Fuster’s
results in 2011.
Share and Cite
ISRP Style
Jing Zhou, Yunan Cui, Fixed point theorems for (L)-type mappings in complete CAT(0) spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 964--974
AMA Style
Zhou Jing, Cui Yunan, Fixed point theorems for (L)-type mappings in complete CAT(0) spaces. J. Nonlinear Sci. Appl. (2017); 10(3):964--974
Chicago/Turabian Style
Zhou, Jing, Cui, Yunan. "Fixed point theorems for (L)-type mappings in complete CAT(0) spaces." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 964--974
Keywords
- (L)-type mappings
- geodesic spaces
- fixed point theorems
- common fixed point theorems
- three-step iteration scheme.
MSC
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