A set-valued generalization of Ricceri's theorem related to Fan-Takahashi minimax inequality

zbMath1347.49030MaRDI QIDQ317389

Tamaki Tanaka, Yutaka Saito

Publication date: 30 September 2016

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

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1468334494

zbMATH Keywords

set-valued mapsscalarization methodFan-Takahashi minimax inequalityRicceri's theoremset-relations

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Existence of solutions for minimax problems (49J35)

Cites Work

• Cone-semicontinuity of set-valued maps by analogy with real-valued semicontinuity
• Nonlinear variational inequalities and fixed point theorems
• Continuity of cone-convex functions
• On cone convexity of set-valued maps
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