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new results for the best proximity pair in cone riesz space
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نویسنده
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sarvari ali asghar ,mazaheri tehrani hamid ,khademzadeh hamid
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:2037 -2041
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چکیده
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In this paper, the best proximity pair problem is considered with a cone metric. the conditions for the existence and uniqueness of the best proximity pair problem is discussed by using interesting relationships in riesz spaces. this problem is studied for t-absolutely direct sets. also, given the conditions considered for this problem, it is shown for the cone cyclic contraction maps, the best proximity pair problem is uniquely solvable.
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کلیدواژه
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the best proximity pair ,cone metric riesz space ,order complete ,order convergence
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آدرس
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yazd university, computer geometry and dynamical systems laboratory, iran, yazd university, faculty of mathematics, iran, technical and vocational university (tvu), department of mathematics, iran
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پست الکترونیکی
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hrkhademzadeh@gmail.com
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Authors
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