Applications of fixed point theorems to generalized saddle points of bifunctions on chain-complete posets

DOI10.1155/2014/580621zbMath1474.49038OpenAlexW2040994582WikidataQ59039616 ScholiaQ59039616MaRDI QIDQ1724435

Ying Liu, Hongya Gao, Li, Jinlu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/580621

zbMATH Keywords

chain-complete posetsgeneralized equilibrium problemsbifunctionsgeneralised saddle pointsordered variational inequalities

Mathematics Subject Classification ID

Partial orders, general (06A06) Set-valued and variational analysis (49J53) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Existence theories for problems in abstract spaces (49J27)

Cites Work

• On the generalized vector variational inequality problem
• 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
• On vector variational inequalities in reflexive Banach spaces
• Fixed Point Theory in Ordered Sets and Applications
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