A Fixed Point Theorem for Semigroups of Proximately Uniformly Lipschitzian Mappings
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 559-562
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As a generalization of Kiang and Tan's proximately nonexpansive semigroups, the notion of a proximately uniformly Lipschitzian semigroup is introduced and an existence theorem of common fixed points for such a semigroup is proved in a Banach space whose characteristic of convexity is less than one.
Mots-clés :
47H10, Common fixed point, proximately uniformly Lipschitzian semigroup
Xu, Hong-Kun. A Fixed Point Theorem for Semigroups of Proximately Uniformly Lipschitzian Mappings. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 559-562. doi: 10.4153/CMB-1991-088-5
@article{10_4153_CMB_1991_088_5,
author = {Xu, Hong-Kun},
title = {A {Fixed} {Point} {Theorem} for {Semigroups} of {Proximately} {Uniformly} {Lipschitzian} {Mappings}},
journal = {Canadian mathematical bulletin},
pages = {559--562},
year = {1991},
volume = {34},
number = {4},
doi = {10.4153/CMB-1991-088-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-088-5/}
}
TY - JOUR AU - Xu, Hong-Kun TI - A Fixed Point Theorem for Semigroups of Proximately Uniformly Lipschitzian Mappings JO - Canadian mathematical bulletin PY - 1991 SP - 559 EP - 562 VL - 34 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-088-5/ DO - 10.4153/CMB-1991-088-5 ID - 10_4153_CMB_1991_088_5 ER -
%0 Journal Article %A Xu, Hong-Kun %T A Fixed Point Theorem for Semigroups of Proximately Uniformly Lipschitzian Mappings %J Canadian mathematical bulletin %D 1991 %P 559-562 %V 34 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-088-5/ %R 10.4153/CMB-1991-088-5 %F 10_4153_CMB_1991_088_5
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