Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space
Journal: Sahand Communications in Mathematical Analysis (Vol.16, No. 1)Publication Date: 2019-10-13
Authors : Madjid Eshaghi Gordji; Hasti Habibi;
Page : 35-46
Keywords : Fixed point; $varepsilon$-connected; Orthogonal set; solution; Metric space; Analytic function;
Abstract
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.
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Last modified: 2019-10-14 16:37:35