On scalar equilibrium problem in generalized convex spaces

DOI10.1016/j.jmaa.2006.08.007zbMath1117.47062OpenAlexW2062224989MaRDI QIDQ874956

Zoran D. Mitrović

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.007

zbMATH Keywords

simultaneous approximationbest approximationgeneralized convex spaceequilibrium problemfixed-point theoremscoincidence theoremshyperconvex metric space\(G\)-KKM map

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Simultaneous approximation (41A28)

Related Items

Applications of some basic theorems in the KKM theory ⋮ Existence of solutions for generalized equilibrium problem in \(G\)-convex space ⋮ On a generalized vector equilibrium problem with bounds ⋮ On best approximations in hyperconvex spaces ⋮ Best approximation, coincidence and fixed point theorems for quasi-lower semicontinuous set-valued maps in hyperconvex metric spaces ⋮ Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces ⋮ Best approximation, coincidence and fixed point theorems for set-valued maps in \(\mathbb R\)-trees

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