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عنوان
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The Banach Type Contraction for mappings on Algebraic Cone Metric Spaces Associated with an Algebraic Distance and Endowed with a Graph
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Algebraic cone metric space, Algebraic distance, Banach contraction, Orbitally G-continuous mapping.
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چکیده
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In this work, we define the notion of 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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پژوهشگران
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کمال فلاحی (نفر اول)، قاسم سلیمانی راد (نفر دوم)
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