Publication: Iterative approximation of attractive points of further generalized hybrid mappings in Hadamard spaces
Issued Date
2019-12-01
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ISSN
16871812
16871820
16871820
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2-s2.0-85061039435
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Mahidol University
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SCOPUS
Bibliographic Citation
Fixed Point Theory and Applications. Vol.2019, No.1 (2019)
Suggested Citation
Asawathep Cuntavepanit, Withun Phuengrattana Iterative approximation of attractive points of further generalized hybrid mappings in Hadamard spaces. Fixed Point Theory and Applications. Vol.2019, No.1 (2019). doi:10.1186/s13663-019-0653-8 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51193
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Title
Iterative approximation of attractive points of further generalized hybrid mappings in Hadamard spaces
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Abstract
© 2019, The Author(s). In this paper, we study the class of further generalized hybrid mappings due to Khan (Fixed Point Theory Appl. 2018:8, 2018) in the setting of Hadamard spaces. We prove a demiclosed principle for such mappings in Hadamard spaces. Furthermore, we also prove the Δ-convergence of the sequence generated by the S-iteration process for finding attractive points of further generalized hybrid mappings in Hadamard spaces satisfying the (S) property and the (Q4‾ ) condition. Moreover, we provide a numerical example to illustrate the convergence behavior of the studied iteration and numerically compare the convergence of the studied iteration scheme with the existing schemes. Our results extend some known results which appeared in the literature.