A generalized Banach contraction principle that characterizes metric completeness
نویسندگان
چکیده
منابع مشابه
A characterization of completeness of generalized metric spaces using generalized Banach contraction principle
In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach’s fixed point theorem is obtained under the completeness condition of the space. Moreover, it is established that using such contraction principle completeness of the generalized metric space can be characterized.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2007
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-07-09055-7