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Necessary and sufficient conditions for the existence of a solution to an equilibrium problem are given, in the general case when the function generating the problem is defined on a… Click to show full abstract
Necessary and sufficient conditions for the existence of a solution to an equilibrium problem are given, in the general case when the function generating the problem is defined on a product between a subset X of a topological vector space and an arbitrary set Y. Our results extend the Knaster–Kuratowski–Mazurkiewicz Lemma, Ky Fan’s minimax inequality and Brézis–Nirenberg–Stampacchia Theorem.
Keywords:
inequality systems;
existence theorems;
theorems inequality
Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018
Link to full text (if available)
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Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!