Geodesic
Results on common fixed points on complete metric spaces
Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 165-167

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The following theorem was proved in [1].Theorem 1. Let S and T be continuous, commuting mappings of a complete, bounded metric space (X, d) into itself satisfying the inequalityfor all x, y in X, where 0≤c<1 and p, p′, q, q′≥0 are fixed integers with p+p′, q+q′≥1. Then S and T have a unique common fixed point z. Further, if p′ or q′ = 0, then z is the unique fixed point of S and if p or q = 0, then z is the unique fixed point of T. 
Fisher, Brian. Results on common fixed points on complete metric spaces. Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 165-167. doi: 10.1017/S0017089500004134
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[1] 1.Fisher, B., Results on common fixed points on bounded metric spaces, Math. Sem. Notes Kobe Univ., 7 (1979), 73–80. Google Scholar

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