Systems of convex inequalities and their applications

DOI10.1016/0022-247X(79)90057-XzbMath0422.46009OpenAlexW2093627061MaRDI QIDQ1133717

Kazuo Sakamaki, Takahashi, Wataru

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90057-x

zbMATH Keywords

minimax theoremsfixed point theoremsMarkov operatorscompact convex setsystems of convex inequalitiesbalanced gamesdoubly stochastic operators

Mathematics Subject Classification ID

Game theory (91A99) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fixed-point theorems (47H10) Sequence spaces (including Köthe sequence spaces) (46A45) Convex sets in topological linear spaces; Choquet theory (46A55) Inequalities in real analysis (26D99)

Related Items

A Mazur-Orlicz type theorem for submodular set functions, Alberti-Uhlmann problem on Hardy-Littlewood-Pólya majorization, Fan's theorem concerning systems of convex inequalities and its applications, On infinite doubly substochastic matrices

Cites Work

• Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations
• Nonlinear variational inequalities and fixed point theorems
• Convex games and extreme points
• Applications of a theorem concerning sets with convex sections
• The fixed point theory of multi-valued mappings in topological vector spaces
• Countably additive measures in cores of games
• The Trace in Finite Operator Algebras
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation
• Minimax Theorems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item