Cone-semicontinuity of set-valued maps by analogy with real-valued semicontinuity

zbMath1217.49021MaRDI QIDQ533331

Issei Kuwano, Yuuya Sonda, Tamaki Tanaka

Publication date: 2 May 2011

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1303477706

zbMATH Keywords

semicontinuitynonlinear scalarizationset-valued analysiscone-continuityset-relation

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

A set-valued generalization of Ricceri's theorem related to Fan-Takahashi minimax inequality ⋮ Some minimax theorems of set-valued maps and their applications ⋮ Set Relations via Families of Scalar Functions and Approximate Solutions in Set Optimization

Cites Work

• Variational methods in partially ordered spaces
• An Existence Theorem in Vector Optimization
• On cone convexity of set-valued maps
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