Contractive gauge functions in strongly orthogonal metric spaces
نویسندگان
چکیده مقاله:
Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theorem is a real generalization of these fixed point theorems.
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عنوان ژورنال
دوره 8 شماره 2
صفحات 23- 28
تاریخ انتشار 2017-12-03
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