Geodesic
Sequences of Contractions in a Generalized Metric Space
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 55-58

Voir la notice de l'article provenant de la source Cambridge University Press

The main aim of this paper is to study the convergence of a sequence of contractions in a generalized metric space. More specifically, we investigate the following question:"If a sequence of contractions {fr } with fixed points ur (r = 1,2,...) converges to a mapping f with a fixed point u, under what conditions will the sequence u r converge to u?"A partial answer to the above question has been given in metric spaces by Bonsall [1]. This result has since been improved by Russell and Singh [6]. Further results will now be given in a generalized metric space. 
Norris, C. W. Sequences of Contractions in a Generalized Metric Space. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 55-58. doi: 10.4153/CMB-1970-011-5
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