Coincidence and common fixed point theorems in compact Hausdorff spaces
Author(s) -
Zeqing Liu,
Haiyan Gao,
Shin Min Kang,
Yong Soo Kim
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.845
Subject(s) - mathematics , hausdorff space , coincidence , coincidence point , fixed point , hausdorff distance , hausdorff measure , fixed point theorem , urysohn and completely hausdorff spaces , discrete mathematics , pure mathematics , mathematical analysis , hausdorff dimension , medicine , alternative medicine , pathology
The existence of coincidence and fixed points for continuous mappings in compact Hausdorff spaces is established. Some equivalent conditions of the existence of fixed and common fixed points for any continuous mapping and a pair of mappings in compact Hausdorff spaces are given, respectively. Our results extend, improve, and unify the corresponding results due to Jungck, Liu, and Singh and Rao
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