Open AccessCondensing Mappings and Best Proximity Point Results
Author(s) -
Sarah O. Alshehri,
Hamed Alsulami,
Naseer Shahzad
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/5542994
Subject(s) - mathematics , point (geometry) , combinatorics , discrete mathematics , geometry
Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continuity of T is a necessary condition that cannot be omitted. Some examples are given to support our results.
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