TY - JOUR
T1 - Approximating common fixed points of a family of non-self mappings in CAT(0) spaces
AU - Tufa, Abebe Regassa
AU - Zegeye, Habtu
N1 - Funding Information:
The authors are grateful to the referees and the editor for their careful observation and valuable comments and suggestions which lead to the present form of the paper.
Publisher Copyright:
© 2021, Sociedad Matemática Mexicana.
PY - 2022/3
Y1 - 2022/3
N2 - In this paper, we construct an iterative scheme for approximating common fixed points of a countable family of quasi-nonexpansive non-self mappings in a complete CAT(0) space. In addition, we prove ▵-convergence and strong convergence results of the scheme under appropriate conditions. Moreover, we construct an iterative scheme for approximating common fixed points of a countable family of demicontractive mappings and establish strong convergence result of the scheme under some mild conditions. Our results improve and generalize most of the results in the literature.
AB - In this paper, we construct an iterative scheme for approximating common fixed points of a countable family of quasi-nonexpansive non-self mappings in a complete CAT(0) space. In addition, we prove ▵-convergence and strong convergence results of the scheme under appropriate conditions. Moreover, we construct an iterative scheme for approximating common fixed points of a countable family of demicontractive mappings and establish strong convergence result of the scheme under some mild conditions. Our results improve and generalize most of the results in the literature.
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U2 - 10.1007/s40590-021-00394-4
DO - 10.1007/s40590-021-00394-4
M3 - Article
AN - SCOPUS:85119404526
SN - 1405-213X
VL - 28
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
IS - 1
M1 - 3
ER -