A note on the relationship between the isotone assumption of the Abian-Brown fixed point theorem and Abian's most basic fixed point theorem

DOI10.1186/1687-1812-2014-129zbMath1469.54149OpenAlexW2112808164WikidataQ59323619 ScholiaQ59323619MaRDI QIDQ2264152

Shravan Luckraz

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/10.1186/1687-1812-2014-129

Mathematics Subject Classification ID

Partial orders, general (06A06) Fixed-point and coincidence theorems (topological aspects) (54H25) Discrete version of topics in analysis (39A12)

Cites Work

• Unnamed Item
• 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
• A fixed-point theorem for mappings
• A lattice-theoretical fixpoint theorem and its applications
• An extension of Tarski's fixed point theorem and its application to isotone complementarity problems
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• A Fixed Point Theorem for Image-Intersecting Mappings

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