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Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces

Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive... AbstractIn this paper, we discuss the Δ-convergence and strong convergence for the iterative sequence generated by the proposed scheme to approximate a common fixed point of a total asymptotically nonexpansivesingle-valued mapping and a quasi nonexpansive multi-valued mapping in a complete uniformly convex hyperbolic space. Finally, by giving an example, we illustrate our result. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces

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Copyright
© 2020 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6082
eISSN
1869-6082
DOI
10.1515/jaa-2020-2038
Publisher site
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Abstract

AbstractIn this paper, we discuss the Δ-convergence and strong convergence for the iterative sequence generated by the proposed scheme to approximate a common fixed point of a total asymptotically nonexpansivesingle-valued mapping and a quasi nonexpansive multi-valued mapping in a complete uniformly convex hyperbolic space. Finally, by giving an example, we illustrate our result.

Journal

Journal of Applied Analysis – de Gruyter

Published: Jun 1, 2021

Keywords: Total asymptotically nonexpansive single-valued mappings; quasi nonexpansive multi-valued mappings; uniformly convex hyperbolic spaces; condition (E); 47H10; 54H25

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