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

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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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     author = {Norris, C. W.},
     title = {Sequences of {Contractions} in a {Generalized} {Metric} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {55--58},
     year = {1970},
     volume = {13},
     number = {1},
     doi = {10.4153/CMB-1970-011-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-011-5/}
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