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عنوان
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The Existence Theorem for Contractive Mappings on c-distance in b-metric Spaces Endowed with a Graph and its Application
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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b-metric space, wt-distance, Fixed point, Orbitally Gcontinuous mapping
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چکیده
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In this paper, we study the existence and uniqueness of fixed points for mappings with respect to a wt-distance in bmetric spaces endowed with a graph. Our results are significant, since we replace the condition of continuity of mapping with the condition of orbitally G-continuity of mapping and we consider bmetric spaces with graph instead of b-metric spaces, under which can be generalized, improved, enriched and unified a number of recently announced results in the existing literature. Additionally, we elicit all of our main results by a non-trivial example and pose an interesting two open problems for the enthusiastic readers.
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پژوهشگران
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کمال فلاحی (Kamal Fallahi) (نفر اول)، دراگانا ُساویک (نفر دوم)، قاسم سلیمانی راد (نفر سوم)
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