An application of Ky-fan fixed point theorem to an optimization problem

DOI10.1016/0362-546X(89)90053-9zbMath0685.49009MaRDI QIDQ4735689

Vera Zeidan, Tomasz Kaczynski

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

upper semicontinuous mapKy-Fan fixed point theoremNash equilibrium theoremmarginal mapcontinuous cross-section property

Mathematics Subject Classification ID

Cooperative games (91A12) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (8)

On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces ⋮ New generalizations of Browder's variational inequalities and the Ky Fan minimax inequality ⋮ On equilibrium problem of abstract economy, generalized quasi-variational inequality, and an optimization problem in locally \(H\)-convex spaces ⋮ Existence theorems of solutions for a kind of quasi-variational inequalities with monotone type multivalued mapping ⋮ Quasi-variational inequalities and social equilibrium ⋮ Existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure ⋮ Noncompact infinite optimization and equilibria of constrained games in generalized convex spaces ⋮ Quasi-equilibrium problems with applications to infinite optimization and constrained games in general topological spaces

Cites Work

• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Unnamed Item

This page was built for publication: An application of Ky-fan fixed point theorem to an optimization problem