Demiclosed Principle and Δ-Convergence of Fixed Points for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces
Li-Li Wan *
School of Science, Southwest University of Science and Technology, Mianyang Sichuan 621010, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we prove the existence of fixed points and demiclosed principle for total asymptotically nonexpansive mappings in hyperbolic spaces. As a consequence, we obtain a Δ-convergence theorem for such mappings in hyperbolic spaces. Our results improve and extend some results in the literature.
Keywords: Total asymptotically nonexpansive mappings, hyperbolic spaces, demiclosed principle.
How to Cite
Wan, Li-Li. 2015. “Demiclosed Principle and Δ-Convergence of Fixed Points for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces”. Journal of Advances in Mathematics and Computer Science 7 (2):109-19. https://doi.org/10.9734/BJMCS/2015/15414.
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