2014/12/05 by Ali Hassanzadeh, Hassanzadeh, Ali, Ildar Sadeqi +3
Computer Science · Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA
paper · pdf · doi:10.48550/arxiv.1412.2095
openalex publication_date 2014/12/05 · arxiv created 2019/12/24 · arxiv updated 2019/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, the notion of c-support points of a set in a semitopological cone is introduced. It is shown that any nonempty convex Scott closed bounded set has a c-support point in a cancellative bd-cone under certain condition. We also introduce the notion of wd-cone and then we prove a Bishop-Phelps type theorem for wd-cones, especially for normed cones, under appropriate conditions. Finally, using of the Bishop-Phelps technique, we obtain a result about the fixed points of a mapping on s-cones.