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On coincidence and fixed-point theorems in symmetric spaces. (English) Zbl 1169.54020
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)].

54H25Fixed-point and coincidence theorems in topological spaces
54E25Semimetric spaces
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