Fixed point theorems on partially ordered topological vector spaces and their applications to equilibrium problems with incomplete preferences

DOI10.1186/1687-1812-2014-192zbMath1307.47057OpenAlexW2131033546WikidataQ59400668 ScholiaQ59400668MaRDI QIDQ2264131

Li, Jinlu

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-192

zbMATH Keywords

fixed pointgeneralized Nash equilibriumpartially ordered topological spacestrategic game with partially ordered preferencesuniversally inductive poset

Mathematics Subject Classification ID

Noncooperative games (91A10) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) (n)-person games, (n>2) (91A06) Games in extensive form (91A18) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (5)

Inductive properties of fixed point sets of mappings on posets and on partially ordered topological spaces ⋮ Order-preservation properties of resolvent operators and their applications to variational inequalities ⋮ Unnamed Item ⋮ Isotone cones in Banach spaces and applications to best approximations of operators without continuity conditions ⋮ Stable Matching in Large Economies

Cites Work

• Applications of fixed point theory to extended Nash equilibriums of nonmonetized noncooperative games on posets
• Order-clustered fixed point theorems on chain-complete preordered sets and their applications to extended and generalized Nash equilibria
• Several extensions of the Abian-Brown fixed point theorem and their applications to extended and generalized Nash equilibria on chain-complete posets
• Extended Nash Equilibria of Nonmonetized Noncooperative Games on Preordered Sets
• Partially Ordered Topological Spaces
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