Geodesic
Fixed point theorems for (L)-type mappings in complete CAT(0) spaces
Zhou, Jing1 ; Cui, Yunan2
1 Department of Mathematics, Harbin Institute of Technology, Harbin 150080, P. R. China
2 Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 964-974.

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

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.
DOI : 10.22436/jnsa.010.03.09
Classification : 47H09, 47H10, 54E40
Keywords: (L)-type mappings, geodesic spaces, fixed point theorems, common fixed point theorems, three-step iteration scheme.

Zhou, Jing 1 ; Cui, Yunan 2

1 Department of Mathematics, Harbin Institute of Technology, Harbin 150080, P. R. China
2 Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China 
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Zhou, Jing; Cui, Yunan. Fixed point theorems for (L)-type mappings in complete CAT(0) spaces. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 964-974. doi : 10.22436/jnsa.010.03.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.03.09/

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