%0 Journal Article
%T Contractive gauge functions in strongly orthogonal metric spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Ramezani, Maryam
%A Baghani, Hamid
%D 2017
%\ 12/01/2017
%V 8
%N 2
%P 23-28
%! Contractive gauge functions in strongly orthogonal metric spaces
%K strongly orthogonal set
%K Fixed point
%K gauge function
%R 10.22075/ijnaa.2016.452
%X 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.
%U https://ijnaa.semnan.ac.ir/article_452_2a1a25491ed3b19576dc43dcff80d39b.pdf