TY - JOUR
ID - 452
TI - Contractive gauge functions in strongly orthogonal metric spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Ramezani, Maryam
AU - Baghani, Hamid
AD - Department of Mathematics, Faculty of Mathematics, University of Bojnord, Bojnord, Iran
AD - Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
Y1 - 2017
PY - 2017
VL - 8
IS - 2
SP - 23
EP - 28
KW - strongly orthogonal set
KW - Fixed point
KW - gauge function
DO - 10.22075/ijnaa.2016.452
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_452.html
L1 - https://ijnaa.semnan.ac.ir/article_452_2a1a25491ed3b19576dc43dcff80d39b.pdf
ER -