New results for the best proximity pair in cone Riesz space
نویسندگان
1 Faculty of Mathematics, Yazd University, Yazd, Iran
2 Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran
3 Computer Geometry and Dynamical Systems Laboratory, Yazd University, Yazd, Iran
doi
10.22075/ijnaa.2020.17721.1958چکیده
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.
