Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets. (9th April 2014)

• Record Type: Journal Article
• Authors: Li, Jinlu; Liu, Ying; Gao, Hongya
• Other Names: Li Chong Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-09
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/580621
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We apply the extensions of the Abian-Brown fixed point theorem for set-valued mappings on chain-complete posets to examine the existence of generalized and extended saddle points of bifunctions defined on posets. We also study the generalized and extended equilibrium problems and the solvability of ordered variational inequalities on posets, which are equipped with a partial order relation and have neither an algebraic structure nor a topological structure.