Open AccessSome results on Best proximity in geodesic spaces
Author(s) -
Kassim A. Jassim,
Salwa Salman Abed
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1804/1/012030
Subject(s) - mathematics , geodesic , uniqueness , contraction (grammar) , banach space , uniformly convex space , regular polygon , pure mathematics , discrete mathematics , mathematical analysis , lp space , geometry , banach manifold , medicine
Eldred and Veeramani have proved the existence and uniqueness of best proximity for contraction cyclic contraction mapping in uniformly convex banach spaces. In this paper, Eldred and Veeramani study is extended to geodesic spaces particularly in CAT(0) spaces, prove the sequences ( x 2 n ) and (x 2 n +1) are Cauchy sequences and prove the existenace and uniqueness of best proximity point for contraction cyclic mapping in CAT(0) spaces.