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Equilibrium problems and applications

By: Kassay, Gabor.
Contributor(s): Radulescu, Vicentiu D.
Series: Mathematics in science and engineering.Publisher: London : Academic Press, 2019Description: xx, 419 p.; 23 cm.ISBN: 9780128110294.Subject(s): Mathematical optimization | Equilibrium | Variational inequalities | Approximate solutions | Bifunction | Bishop-Phelps theorem | Convex functions | Continuous functions | Debreu-Gale-Nikaids theorem | Equilibrium problem | Fixed point problem | Hilbert spaces | KKM mapping | Lower semicontinuous | Nash equilibrium problem | Pseudo-monotonicity | Quasi-convex function | Set-valued equilibrium problems | Topological vector spaces | Upper hemicontinuous function | Variational inequalityDDC classification: 515.64 Summary: Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis.
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Books 515.64 KAS (Browse shelf) Available 033814

Includes bibliographical references and index.

Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis.

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