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Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space

Journal: Sahand Communications in Mathematical Analysis (Vol.16, No. 1)

Publication Date:

Authors : ; ;

Page : 35-46

Keywords : Fixed point; $varepsilon$-connected; Orthogonal set; solution; Metric space; Analytic function;

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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.

Last modified: 2019-10-14 16:37:35