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Zbl 1169.54020
Cho, Seong-Hoon; Lee, Gwang-Yeon; Bae, Jong-Sook
On coincidence and fixed-point theorems in symmetric spaces. (English)
[J] Fixed Point Theory Appl. 2008, Article ID 562130, 9 p. (2008). ISSN 1687-1812/e

Summary: We give an axiom (C.C) in symmetric spaces and investigate the relationships between (C.C) and axioms (W3), (W4), and (H.E). We give some results on coinsidence and fixed-point theorems in symmetric spaces, and also some counterexamples for the results of {\it M. Imdad, J. Ali} and {\it L. Khan} [J.~Math. Anal. Appl. 320, No. 1, 352--360 (2006), corrigendum ibid. 329, No. 1, 752 (2007; Zbl 1098.54033)].

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54E25 Semimetric spaces

Keywords: symmetric space; semimetric space; coincidence points; fixed points

Citations: Zbl 1098.54033

Cited in: Zbl 1228.54043 Zbl 1210.54060 Zbl 1191.54019

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