%0 Journal Article
%A Fallahi, K.
%A Soleimani Rad, Gh.
%T The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph
%J Iranian Journal of Mathematical Sciences and Informatics
%V 15
%N 1
%U http://ijmsi.ir/article-1-1064-en.html
%R 10.29252/ijmsi.15.1.41
%D 2020
%K Algebraic cone metric space, Algebraic distance, Banach contraction, Orbitally G-continuous mapping,
%X In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a Banach contractive type mapping in algebraic cone metric spaces associated with an algebraic distance and endowed with a graph.
%> http://ijmsi.ir/article-1-1064-en.pdf
%P 41-52
%& 41
%!
%9 Research paper
%L A-10-2588-1
%+ Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
%G eng
%@ 1735-4463
%[ 2020