دوره 15، شماره 1 - ( 1-1399 )
جلد 15 شماره 1 صفحات 52-41 |
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Fallahi K, Soleimani Rad G. The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph. IJMSI 2020; 15 (1) :41-52
URL: http://ijmsi.ir/article-1-1064-fa.html
URL: http://ijmsi.ir/article-1-1064-fa.html
The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph. مجله علوم ریاضی و انفورماتیک. 1399; 15 (1) :41-52
چکیده:
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.
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