TY - JOUR
ID - 36366
TI - Fixed Point Theory in $\varepsilon$-connected Orthogonal Metric Space
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Eshaghi Gordji, Madjid
AU - Habibi, Hasti
AD - Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran.
AD - Department of Mathematics, Semnan University, Semnan, Iran.
Y1 - 2019
PY - 2019
VL - 16
IS - 1
SP - 35
EP - 46
KW - Fixed point
KW - $varepsilon$-connected
KW - Orthogonal set
KW - solution
KW - Metric space
KW - Analytic function
DO - 10.22130/scma.2018.72368.289
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_36366.html
L1 - https://scma.maragheh.ac.ir/article_36366_988f1f54affa1680ce562c8d50a002e5.pdf
ER -