Reducing the complexity of equilibrium problems and applications to best approximation problems

Author:

Fodor Valerian-Alin, ,Popovici Nicolae,

Abstract

"We consider the scalar equilibrium problems governed by a bifunction in a finite-dimensional framework and we characterize the solutions by means of extreme or exposed points."

Publisher

Babes-Bolyai University

Subject

General Mathematics

Reference7 articles.

1. "1. Breckner, B.E., Popovici, N., Convexity and Optimization: An Introduction, EFES, Cluj-Napoca, 2006.

2. 2. Kassay, G., Rădulescu, V.D., Equilibrium Problems and Applications. Mathematics in Science and Engineering, Elsevier/Academic Press, London, 2019.

3. 3. Martinez-Legaz, J.E, Pintea, C., Closed convex sets of Minkowski type, J. Math. Anal. Appl., 444(2016), 1195-1202.

4. 4. Martinez-Legaz, J.E., Pintea, C., Closed convex sets with an open or closed Gauss range, Math. Program., 189(2021), 433-454.

5. 5. Minkowski, H., Theorie der konvexen Körper, insbesondere Begründung ihres Oberflächenbegriffs, in Gesammelte Abhandlungen, Vol. 2, B.G. Teubner, Leipzig and Berlin, 1911, 131-229.

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