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   new results for the best proximity pair in cone riesz space  
   
نویسنده sarvari ali asghar ,mazaheri tehrani hamid ,khademzadeh hamid
منبع international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:2037 -2041
چکیده    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.
کلیدواژه the best proximity pair ,cone metric riesz space ,order complete ,order convergence
آدرس yazd university, computer geometry and dynamical systems laboratory, iran, yazd university, faculty of mathematics, iran, technical and vocational university (tvu), department of mathematics, iran
پست الکترونیکی hrkhademzadeh@gmail.com
 
     
   
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