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عنوان
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A discussion of T-contractions with respect to wt-distances and its generalization in Banach spaces; a survey
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Keywords T-contraction · wt-distance . Generalized c-distance . Sequentially convergent mapping · Fixed point · Banach algebra · Spectral radius
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چکیده
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In the present article, first the concept of a T-contraction with respect to a wt-distance in b-metric spaces is introduced and second the equivalence of the existence and uniqueness of fixed points of mappings satisfying usual contractions and their corresponding T-contractions is discussed. Then we extend our discussion into a T-contraction in relation to a generalized c-distance and show in particular that the fixed point results of Nazir et al. with respect to a T-contraction [Afr. Mat. (2024),35:69] are equivalent to their usual contractions although they can give good applications and solve interesting mathematical problems. A few examples, applications and notes are added to illustrate the importance of the main results, as well as subsequent issues on this concept.
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پژوهشگران
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سیده سارا کریمی زاد (نفر اول)، اردال کاراپینار (نفر دوم)، قاسم سلیمانی راد (نفر سوم)
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