Isotone Cones in Banach Spaces and Applications to Best Approximations of Operators without Continuity Conditions

2017/10/13 by Jinlu Li, Li, Jinlu
Mathematics · Computer Science · #Fixed Point Theorems Analysis #Advanced Banach Space Theory #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1710.04963

Abstract

In this paper, we introduce the concept of isotone cones in Banach spaces. Then we apply the order monotonic property of the metric projection operator to prove the existence of best approximations for some operators without continuity conditions in partially ordered Banach spaces.

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