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

Authors

DOI:

https://doi.org/10.24193/subbmath.2023.3.13

Keywords:

Extreme points, exposed points, equilibrium points.

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. 

Mathematics Subject Classification (2010): 52A20, 41A50, 46N10, 90C33.

References

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

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

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

Muu, L.D., Oettli, W., Convergence of an adaptive penalty scheme for finding constrained equilibria, Nonlinear Anal., 18(1992), 1159-1166.

Webster, R., Convexity, Oxford University Press, New York, NY, 1994.

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Published

2023-09-30

How to Cite

FODOR, V.-A. ., & POPOVICI, †Nicolae . (2023). Reducing the complexity of equilibrium problems and applications to best approximation problems. Studia Universitatis Babeș-Bolyai Mathematica, 68(3), 649–661. https://doi.org/10.24193/subbmath.2023.3.13

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Articles