Positive continuous linear functionals on Riesz spaces and applications to minimax theorems

DOI10.1016/0022-247X(88)90015-7zbMath0658.49004MaRDI QIDQ1111153

Anna Salvadori, Anna Martellotti

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Riesz spacepositive linear functionalminimax equality

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Ordered topological linear spaces, vector lattices (46A40) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (1)

Inequality systems and minimax results without linear structure

Cites Work

• On general minimax theorems
• A minimax theorem for functions taking values in a Riesz space
• A non-compact minimax theorem
• Minimax and fixed point theorems
• Sequence spaces with a given Köthe \(\beta\)-dual
• Minimax theorems without linear structure
• Some Minimax Theorems.
• Minimax Theorems
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