%0 Journal Article
%T Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Eshaghi Gordji, Madjid
%A Habibi, Hasti
%D 2019
%\ 10/01/2019
%V 16
%N 1
%P 35-46
%! Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space
%K Fixed point
%K $varepsilon$-connected
%K Orthogonal set
%K solution
%K Metric space
%K Analytic function
%R 10.22130/scma.2018.72368.289
%X The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some illustrating examples.
%U http://scma.maragheh.ac.ir/article_36366_988f1f54affa1680ce562c8d50a002e5.pdf